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How to convert a decimal into percentage?
We will follow the following steps for
converting a decimal into a percentage:
Step I: Obtain the number
in decimal form.
Step II: Multiply the
number in decimal form by 100 and put percent
sign (%)
Note:
When we multiply the decimal number by 100, then we need to shift the decimal
point two places to the right (add zeros if necessary).
Solved Examples on Decimal to Percent
We can also express a decimal as a per cent simply by multiplying it by 100 and writing % to the right of it.
For example:
0.45 = 0.45 × 100%
= (0.45 × 100)%
= 45%
Similarly, 2.37 = 2.37 × 100%
= (2.37 × 100)%
= 237%
and 1.7 = 1.7 × 100%
= (1.7 × 100)%
= 170%
More solved examples on Convert Decimals to Percents:
I. Express each of the following decimal as percent:
(i) 0.8 = 0.8 × 100 % = 80 %
(ii) 1.2 = 1.2 × 100 % = 120 %
(iii) 7.1 = 7.1 × 100 % = 710 %
(iv) 10.1 = 10.1 ×
100 % = 1010 %
(v) 31.3 = 31.3 ×
100 % = 3130 %
(vi) 123.7 = 123.7 × 100 % = 12370 %
(vii) 101.9 =
101.9 × 100 % = 10190 %
II. Conversion of decimal into percent:
(i) 0.29 = 0.29 × 100 % = 29 %
(ii) 0.25 = 0.25 ×
100 % = 25 %
(iii) 0.01 = 0.01
× 100 % = 1 %
(iv) 0.51 = 0.51 ×
100 % = 51 %
(v) 13.01 = 13.01
× 100 % = 1301 %
(vi) 201.17 =
201.17 × 100 % = 20117 %
(vii) 100.11 = 100.11 × 100 % = 10011 %
III. Convert the following decimal into a percentage:
(i) 0.083 = 0.083
× 100 % = 8.3 %
(ii) 0.225 =
0.225 × 100 % = 22.5 %
(iii) 0.001 =
0.001 × 100 % = 0.1 %
(iv) 0.003 = 0.003 × 100% = 0.3 %
(v) 0.107 = 0.107
× 100 % = 10.7 %
(vi) 1.037 =
1.037 × 100 % = 103.7 %
(vii) 21.275 =
21.275 × 100 % = 2127.5 %
Note: Decimals
shifts by 2 places to the right.
To convert a decimal into a percent, we multiply the given decimal by 100 and add the percent symbol after the product.
IV. Express 0.17 as a percent
Solution:
We first convert the decimal number into a fraction.
0.17 = \(\frac{17}{100}\)
= 17 out of
100
= 17%
EXPRESSING A DECIMAL AS PERCENT
To express a decimal as a per cent, first we convert the decimal into a fraction and then proceed as usual.
Let us consider some examples.
V. Express 1.25 as percent.
Solution:
1.25 = \(\frac{125}{100}\)
= 125 × \(\frac{1}{100}\)
= 125%
VI. Express 2.34 as a percent.
Solution:
2.34 = \(\frac{234}{100}\)
= 234 × \(\frac{1}{100}\)
= 234%
Worksheet on Conversion of Decimal into Percentage
Questions and Answers on Decimal into Percentage:
I. Convert the following decimals to percentage.
(i) 0.5
(ii) 0.21
(iii) 0.08
(iv) 1.23
(v) 0.09
(vi) 0.65
Answers:
I. (i) 50%
(ii) 21%
(iii) 8%
(iv) 123%
(v) 9%
(vi) 65%
Percentage of the given Quantity
How much Percentage One Quantity is of Another?
Real Life Problems on Percentage
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