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CH 4] Calculating Business 4-5

Converting numbers from percents may result in a whole number or in a mixed decimal.

Example C: Write (a) 300% and (b) 475% and (c) 212.5% as decimal numbers.

Solution: (a) 300% = 3 (b) 475% = 4.75 (c) 212.5% = 2.125

(a) 300% = 3

300 % 300 x % 300 % 300 300
= = x = x 1 = = 3.00
100 % 100 x % 100 % 100 100

(b) 475% = 4.75

475 % 475 x % 475 % 475 475
= = x = x 1 = = 4.75
100 % 100 x % 100 % 100 100

(c) 212.5% = 2.125

212.5 % 212.5 x % 212.5 % 212.5 212.5
= = x = x 1 = = 2.125
100 % 100 x % 100 % 100 100

Converting a number to a percent. 4

To convert a number to percent multiply it by 100 %. Remember that the percent
symbol (%) is a part of the number, that the relationship is multiplication and cannot be
lost.

Example A: Convert the numbers (a) 23 and (b) 158 to percents.

Solutions:
(a) 23 (b) 158
x 100 % x 100 %
0 0
0 0
23 158
2300 % 15800 %

To convert a number with a decimal into percent, multiply it by 100% and maintain the
decimal point placement as with any multiplication.

Example B: Convert the numbers (a) 45.80, (b) 0.0257; and (c) 0.00548. to percents.

Solutions:

(a) 45.80 (b) 0.0257 (c) 0.00548
x 100 % x 100 % x 100 %
0 0 0
0 0 0
4580 257 548
4580.0 % 2.5700 % 0.54800 %

THE PERCENTAGE in EQUATIONS
It has been demonstrated in this discussion that percents and percentages represent
parts of a whole; that they are calculated values representing hundredths (refer to Figure
3.3 Decimal Value in Chapter 3), and are quite common in expressing relationships. In our

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