# What percent is one number of another number?

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What percent is one number of another number this we will discuss here.
Sometimes we are given two numbers or quantities and we want to find what percent is one number of another number.

In other words, we want to find how many hundredths of one number should be taken so that it is equal to the 2nd number.

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Using percentage calculator, you can calculate percentage of any number, what % of a given number and increase or decrease % easily.

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Examples on what percent is one number of another number:

1) What per cent of 24 is 6?

Solution :
Let x % of 24 is 6.

Now make the proportion as

x/100 = 6/24

Cross multiply

24x = 100 . 6

24x = 600

x = 600/24

x = 25 %
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2) What per cent of $125 is$10?

Solution :
Let x % of 125 is 10.

Now make the proportion as

x/100 = 10/125

Cross multiply

125x = 100 . 10

125x = 1000

x = 1000/125

x = 8 %
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3) What per cent of 25 kg is 3.5 kg ?

Solution :
Let x % of 25 is 3.5.

Now make the proportion as

x/100 = 3.5/25

Cross multiply

25x = 100 . (3.5)

25x = 350

x = 350/25

x = 14 %
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Another method

1) What per cent of 750 meters is 125 meters ?

Solution :
Required % = (125 x 100)/ 750

= 12500/750

= (12,500 ÷ 25)/(750 ÷ 25)

= 500/30

= 50 /3

∴ Required % = 50/3 = 16.66 %
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2) Express 18 hours as a per cent of 3 days.

Solution :
One day = 24 hours

∴ 3 days = 3 x 24 = 72 hours.

Let x % of 3 days as 18 hours.

x% of 72 hours is 18 hours

(x/100) . 72 = 18

72x/100 = 18

Cross multiply

72x = 100 . 18

72x = 1800

x = 1800/72

x = 25%

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