Baker's Percentages
What you will learn today Understand Baker’s Percentages  Define baker's percentages. Why they are important.  Several ways to use this tool. Math applications: Solve math conversion problems. Analyze formulas based on percentages. Lab Application: Develop a 1.5# loaf of bread to demonstrate  what you learned in class,
Baker's percentage defined Each ingredient must be weighed Must convert volumes into weights Must have consistent units Weight of flour = 100%. Other ingredients expressed as % of flour
Why baker's percentages? Enables one to assess a formula quickly  Enables formula modification Easy to scale a recipe up or down Precision (since weights are used) Provides a common language for bakers
French Bread Volume Measurement Flour 4 Cups  Water 1.75 Cups Salt  1 tsp Yeast ½ tsp Baker’s Percentage Flour 100% Water   63% Salt   2% Yeast  1.5%
Common formula percentages Dough Total Flour Total Water Shortening Milk Solids Eggs  Sugar Salt Yeast Yeast Bread 100 65 3 3 0 5 2 4 Cookie 100 20 40 3 6 45 1 0 Pancake Waffle 100 150 20 10 60 10 2 0 Pound Cake 100 80 50 4 50 100 2 0
Example of a lean dough What is the 100% Ingredient? Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. Water 3 lbs. 8 oz. Salt  1 3/4 oz. Yeast 1 1/4 oz. Total
Lean Dough Example AP Flour: 5 lbs. 4 oz. = 5 4/16 lbs. = 5.25 lbs. By definition flour = 100% Water: 3 lbs. 8 oz. = 3 8/16 lbs. = 3.5 lbs. Percentage = 3.5/5.25 = 66.7%
Example of lean dough Ingredient Weight Convert to Pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. Yeast 1 1/4 oz. Total --
Example of lean dough Ingredient Weight Convert to Pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. .11 lbs. Yeast 1 1/4 oz. Total --
Example of lean dough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. Total --
Example of lean dough Ingredient Weight Conversion Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. Total --
Example of lean dough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. 1.5% Total --
Example of lean dough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. 1.5% Total -- 8.94 lbs.
Example of lean dough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt  1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. 1.5% Total -- 8.94 lbs. 170.3%
Scaling Ingredient Wt of Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% Water 3.5 lbs. 66.7% Salt  .11 lbs. 2.1% Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
Determining weights of ingredients  (We want 20 pounds of dough) Start with the 100% ingredient:   AP Flour:  Total Yield Weight   Total Percentage   20# divided by  170.3%= 11.74#  11.74 lbs. is the 100 % weight off which all other ingredients are based.  Therefore, 11.74 will be our "factor" for calculating remaining ingredient weights.
Scaling Ingredient Wt of Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% Salt  .11 lbs. 2.1% Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
Scaling Ingredient Wt of Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt  .11 lbs. 2.1% Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
Scaling Ingredient Wt of Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt  .11 lbs. 2.1% 0.25# Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
Scaling Ingredient Wt of Original Dough Baker's % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt  .11 lbs. 2.1% 0.25# Yeast .08 lbs. 1.5% .18# Total 8.94 lbs. 170.3%
Scaling √ Ingredient Wt of Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt  .11 lbs. 2.1% 0.25# Yeast .08 lbs. 1.5% .18# Total 8.94 lbs. 170.3% 20 #
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# Rye Meal 4.75 oz. .297# Water 9 lbs.  9# Salt  4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# Water 9 lbs.  9# Salt  4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs.  9# Salt  4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs.  9# 59% Salt  4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs.  9# 59% Salt  4.75 oz. .297# 1.94% Yeast 2 oz. .125# Total ---- 24.7#
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs.  9# 59% Salt  4.75 oz. .297# 1.94% Yeast 2 oz. .125# .8% Total ---- 24.7#
Formula with more than one flour:  Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs.  9# 59% Salt  4.75 oz. .297# 1.94% Yeast 2 oz. .125# .8% Total ---- 24.7# 161.7%
Practical Applications
Convert the following formula into Bakers Percentages. Butter  3# 8oz Sugar 2# 8oz Brown Sugar 1# 14oz Salt 1oz B Soda .5oz Egg 1# 6oz Vanilla 1.25oz AP Flour 5#   CC Chips 5#   How would you convert each ingredient into a percentage?
Convert the following formula into Bakers Percentages. Butter  3# 8oz  70%  Sugar 2# 8oz Brown Sugar 1# 14oz Salt 1oz B Soda .5oz Egg 1# 6oz Vanilla 1.25oz AP Flour 5#   CC Chips 5#   3.5# divided by 5# times 100 = 70%
Formula in Baker’s Percentages. Butter  3# 8oz   70%  Sugar 2# 8oz   50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5#   100% CC Chips 5#   100%
Convert the formula to make 20#s of dough using Bakers Percentages. Butter  3# 8oz    70%  Sugar 2# 8oz   50% Brown Sugar 1# 14oz  37.5% Salt 1oz   1.25% B Soda .5oz   .625% Egg 1# 6oz  27.5% Vanilla 1.25oz  1.56% AP Flour 5#   100% CC Chips 5#   100%   What is the first step?
Convert the formula to make 20#s of dough using Bakers Percentages. Butter  3# 8oz   70%  Sugar 2# 8oz   50% Brown Sugar 1# 14oz  37.5% Salt 1oz  1.25%  B Soda .5oz  .625% Egg 1# 6oz  27.5% Vanilla 1.25oz  1.56% AP Flour 5#  100% CC Chips 5#   100%     388.44%  Add All %s What is the new flour weight?
Convert the formula to make 20#s of dough using Bakers Percentages. Butter  3# 8oz  70%  Sugar 2# 8oz  50% Brown Sugar 1# 14oz  37.5% Salt 1oz   1.25% B Soda .5oz   .625% Egg 1# 6oz  27.5% Vanilla 1.25oz  1.56% AP Flour 5# 100%  5.15# CC Chips 5# 100%   388.44%   20#s divided by 388.44%= New Flour Weight or 5.15#s
Convert the formula to make 20#s of dough using Bakers Percentages. Butter  3# 8oz  70%  Sugar 2# 8oz  50% Brown Sugar 1# 14oz  37.5% Salt 1oz   1.25% B Soda .5oz   .625% Egg 1# 6oz  27.5% Vanilla 1.25oz  1.56% AP Flour 5# 100%  5.15# CC Chips 5# 100%   388.44%   How do you convert all remaining ingredients into weights?
Convert the formula to make 20#s of dough using Bakers Percentages. Butter  3# 8oz  70%    3.60#   Sugar 2# 8oz  50% Brown Sugar 1# 14oz  37.5% Salt 1oz   1.25% B Soda .5oz   .625% Egg 1# 6oz  27.5% Vanilla 1.25oz  1.56% AP Flour 5# 100%    5.15# CC Chips 5# 100%   388.44%   Butter 5.15# X 70%= 3.60#
20#s of Cookie Dough  Butter  3# 8oz  70%  3.60#   Sugar 2# 8oz  50%   2.58# Brown Sugar 1# 14oz  37.5% 1.93# Salt 1oz   1.25%    .06# B Soda .5oz   .625%   .03# Egg 1# 6oz  27.5% 1.42# Vanilla 1.25oz  1.56%   .08# AP Flour 5# 100%  5.15# CC Chips 5# 100% 5.15#   388.44%   20#s

Power point baker's math

  • 1.
  • 2.
    What you willlearn today Understand Baker’s Percentages Define baker's percentages. Why they are important. Several ways to use this tool. Math applications: Solve math conversion problems. Analyze formulas based on percentages. Lab Application: Develop a 1.5# loaf of bread to demonstrate what you learned in class,
  • 3.
    Baker's percentage definedEach ingredient must be weighed Must convert volumes into weights Must have consistent units Weight of flour = 100%. Other ingredients expressed as % of flour
  • 4.
    Why baker's percentages?Enables one to assess a formula quickly Enables formula modification Easy to scale a recipe up or down Precision (since weights are used) Provides a common language for bakers
  • 5.
    French Bread VolumeMeasurement Flour 4 Cups Water 1.75 Cups Salt 1 tsp Yeast ½ tsp Baker’s Percentage Flour 100% Water 63% Salt 2% Yeast 1.5%
  • 6.
    Common formula percentagesDough Total Flour Total Water Shortening Milk Solids Eggs Sugar Salt Yeast Yeast Bread 100 65 3 3 0 5 2 4 Cookie 100 20 40 3 6 45 1 0 Pancake Waffle 100 150 20 10 60 10 2 0 Pound Cake 100 80 50 4 50 100 2 0
  • 7.
    Example of alean dough What is the 100% Ingredient? Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. Water 3 lbs. 8 oz. Salt 1 3/4 oz. Yeast 1 1/4 oz. Total
  • 8.
    Lean Dough ExampleAP Flour: 5 lbs. 4 oz. = 5 4/16 lbs. = 5.25 lbs. By definition flour = 100% Water: 3 lbs. 8 oz. = 3 8/16 lbs. = 3.5 lbs. Percentage = 3.5/5.25 = 66.7%
  • 9.
    Example of leandough Ingredient Weight Convert to Pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. Yeast 1 1/4 oz. Total --
  • 10.
    Example of leandough Ingredient Weight Convert to Pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. .11 lbs. Yeast 1 1/4 oz. Total --
  • 11.
    Example of leandough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. Total --
  • 12.
    Example of leandough Ingredient Weight Conversion Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. Total --
  • 13.
    Example of leandough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. 1.5% Total --
  • 14.
    Example of leandough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. 1.5% Total -- 8.94 lbs.
  • 15.
    Example of leandough Ingredient Weight Convert to pounds Baker’s % AP Flour 5 lbs. 4 oz. 5.25 lbs. 100% Water 3 lbs. 8 oz. 3.5 lbs. 66.7% Salt 1 3/4 oz. .11 lbs. 2.1% Yeast 1 1/4 oz. .08 lbs. 1.5% Total -- 8.94 lbs. 170.3%
  • 16.
    Scaling Ingredient Wtof Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% Water 3.5 lbs. 66.7% Salt .11 lbs. 2.1% Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
  • 17.
    Determining weights ofingredients (We want 20 pounds of dough) Start with the 100% ingredient: AP Flour: Total Yield Weight Total Percentage 20# divided by 170.3%= 11.74# 11.74 lbs. is the 100 % weight off which all other ingredients are based. Therefore, 11.74 will be our "factor" for calculating remaining ingredient weights.
  • 18.
    Scaling Ingredient Wtof Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% Salt .11 lbs. 2.1% Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
  • 19.
    Scaling Ingredient Wtof Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt .11 lbs. 2.1% Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
  • 20.
    Scaling Ingredient Wtof Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt .11 lbs. 2.1% 0.25# Yeast .08 lbs. 1.5% Total 8.94 lbs. 170.3%
  • 21.
    Scaling Ingredient Wtof Original Dough Baker's % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt .11 lbs. 2.1% 0.25# Yeast .08 lbs. 1.5% .18# Total 8.94 lbs. 170.3%
  • 22.
    Scaling √ IngredientWt of Original Dough Baker’s % 20 # Dough AP Flour 5.25 lbs. 100% 11.74# Water 3.5 lbs. 66.7% 7.83# Salt .11 lbs. 2.1% 0.25# Yeast .08 lbs. 1.5% .18# Total 8.94 lbs. 170.3% 20 #
  • 23.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# Rye Meal 4.75 oz. .297# Water 9 lbs. 9# Salt 4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
  • 24.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# Water 9 lbs. 9# Salt 4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
  • 25.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs. 9# Salt 4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
  • 26.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs. 9# 59% Salt 4.75 oz. .297# Yeast 2 oz. .125# Total ---- 24.7#
  • 27.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs. 9# 59% Salt 4.75 oz. .297# 1.94% Yeast 2 oz. .125# Total ---- 24.7#
  • 28.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs. 9# 59% Salt 4.75 oz. .297# 1.94% Yeast 2 oz. .125# .8% Total ---- 24.7#
  • 29.
    Formula with morethan one flour: Campagna (p.25) Ingredient Weight Conversion (lbs.) Baker’s % Bread Flour 15 lbs. 15# 98% Rye Meal 4.75 oz. .297# 2% Water 9 lbs. 9# 59% Salt 4.75 oz. .297# 1.94% Yeast 2 oz. .125# .8% Total ---- 24.7# 161.7%
  • 30.
  • 31.
    Convert the followingformula into Bakers Percentages. Butter 3# 8oz Sugar 2# 8oz Brown Sugar 1# 14oz Salt 1oz B Soda .5oz Egg 1# 6oz Vanilla 1.25oz AP Flour 5# CC Chips 5# How would you convert each ingredient into a percentage?
  • 32.
    Convert the followingformula into Bakers Percentages. Butter 3# 8oz 70% Sugar 2# 8oz Brown Sugar 1# 14oz Salt 1oz B Soda .5oz Egg 1# 6oz Vanilla 1.25oz AP Flour 5# CC Chips 5# 3.5# divided by 5# times 100 = 70%
  • 33.
    Formula in Baker’sPercentages. Butter 3# 8oz 70% Sugar 2# 8oz 50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5# 100% CC Chips 5# 100%
  • 34.
    Convert the formulato make 20#s of dough using Bakers Percentages. Butter 3# 8oz 70% Sugar 2# 8oz 50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5# 100% CC Chips 5# 100% What is the first step?
  • 35.
    Convert the formulato make 20#s of dough using Bakers Percentages. Butter 3# 8oz 70% Sugar 2# 8oz 50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5# 100% CC Chips 5# 100% 388.44% Add All %s What is the new flour weight?
  • 36.
    Convert the formulato make 20#s of dough using Bakers Percentages. Butter 3# 8oz 70% Sugar 2# 8oz 50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5# 100% 5.15# CC Chips 5# 100% 388.44% 20#s divided by 388.44%= New Flour Weight or 5.15#s
  • 37.
    Convert the formulato make 20#s of dough using Bakers Percentages. Butter 3# 8oz 70% Sugar 2# 8oz 50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5# 100% 5.15# CC Chips 5# 100% 388.44% How do you convert all remaining ingredients into weights?
  • 38.
    Convert the formulato make 20#s of dough using Bakers Percentages. Butter 3# 8oz 70% 3.60# Sugar 2# 8oz 50% Brown Sugar 1# 14oz 37.5% Salt 1oz 1.25% B Soda .5oz .625% Egg 1# 6oz 27.5% Vanilla 1.25oz 1.56% AP Flour 5# 100% 5.15# CC Chips 5# 100% 388.44% Butter 5.15# X 70%= 3.60#
  • 39.
    20#s of CookieDough Butter 3# 8oz 70% 3.60# Sugar 2# 8oz 50% 2.58# Brown Sugar 1# 14oz 37.5% 1.93# Salt 1oz 1.25% .06# B Soda .5oz .625% .03# Egg 1# 6oz 27.5% 1.42# Vanilla 1.25oz 1.56% .08# AP Flour 5# 100% 5.15# CC Chips 5# 100% 5.15# 388.44% 20#s