This document provides information about percentages including: - Percentages represent parts of a whole expressed as a fraction of 100 - To convert a decimal to a percentage, move the decimal point two places to the right and add the percent sign - There are three types of percentage problems - finding the rate, percentage, or base given values of two of those items - Examples are provided for converting between decimals and percentages and solving various percentage calculation problems.

1. 1

2. 2
F. PERCENTAGES
1. Percents
• Used to show how many parts of a total are taken out.
• Short way of saying “by the hundred or hundredths part of the whole”.
• The symbol % is used to indicate percent.
• Often displayed as diagrams.
100 Equal Squares = 100%
25% or 25/100
or
1/4
1/4
1/4
1/4
4/4 = 100%
25/100 = 25%
To change a decimal to a %, move decimal point two places to
right and write percent sign.
.15 = 15%
.55 = 55%
.853 = 85.3%
1.02 = 102%
“Zeros may be needed to hold place”.
.8 = 80%

3. 3
Percents Practice Exercises
Write as a decimal.
1. 35% = _________
2. 14% = _________
3. 58.5% = _________
4. 17.45% = __________
5. 5% = _________
Write as a percent.
6. .75 = ______%
7. 0.40 = _____%
8. 0.4 =_______%
9. .4 = _______%
.35
.14
.585
.1745
.05
75
40
40
40

4. 4
Rules For Any Equivalent
To convert a number to its decimal equivalent, multiply by 0.01
Change 6 1/4% to its decimal equivalent.
• Change the mixed number to an improper fraction, then divide the
numerator by the denominator.
6 1/4 = 25/4 = 6.25
• Now multiply the answer (6.25) times 0.01
6 .25 x 0.01 = 0.0625
Rules For Finding Any Percent of Any Number
• Convert the percent into its decimal equivalent.
• Multiply the given number by this equivalent.
• Point off the same number of spaces in answer as in both numbers multiplied.
• Label answer with appropriate unit measure if applicable.
Find 16% of 1028 square inches.
16 x .01 = .16
1028 x 0.16 = 164.48
Label answer: 164.48 square inches

5. 5
2. Percentage
• Refers to value of any percent of a given number.
• First number is called “base”.
• Second number called “rate”... Refers to percent taken from base.
• Third number called “percentage”.
Rule: The product of the base, times the rate, equals the percentage.
Percentage = Base x Rate or P=BxR
NOTE: Rate must always be in decimal form.
To find the formula for a desired quantity, cover it and the
remaining factors indicate the correct operation.
R
P B
Only three types of percent problems exist.
1. Find the amount or rate. R=PxB
2. Find the percentage. P= R
B
3. Find the base. B= R
P

6. 6
Percents Practice Exercises
1. Determine the rate or amount for each problem A through E for the
values given.
BASE
PERCENT-
AGE
2400 lbs
1875
gallons
148 feet
3268.5
Square
inches
$ 875.00
A. B. C. D. E.
80% 45% 15% 4 1/2% 19.5%
A. B. C. D. E.
2. The labor and material for renovating a building totaled $25,475. Of this amount,
70% went for labor and the balance for materials. Determine: (a) the labor cost,
and (b) the material cost.
1920 lbs. 843.75 Gal. 22.2 feet 147.08 sq.in. $170.63
a. $17,832.50 (labor) b. $ 7642.50 (materials)
3. 35% of 82 = 4. 14% of 28 =
5. Sales tax is 9%. Your purchase is $4.50. How much do you owe?
6. You have 165 seconds to finish your task. At what point are you 70%
finished?
7. You make $14.00 per hour. You receive a 5% cost of living raise. How
much raise per hour did you get? How much per hour are you making
now?
28.7 4.32
$4.91
115.5 seconds
$.70 /hr raise Making $14.70 /hr

7. 7
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If Yes ,Join Dreams School “Campaign
for Female Education”
Help us in bringing a change in a girl life, because
“When someone takes away your pens you
realize quite how important education is”.
Just Click on any advertisement on the page, your
one click can make her smile.
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