[Solved] What Percent of 160 is 20

Note that 12.5% of 160 is equal to 20. In this post, we will learn how to find what percent of 160 is 20. This can be asked another way as follows: 20 is what percent of 160?

Question: What percent of 160 is 20?

Solution:

Let y percent of 160 be equal to 20. That is,

160 × y% = 20.

As x% = x/100, the above equation can be rewritten as follows.

160 × $\dfrac{y}{100}$ = 20

⇒ $\dfrac{160y}{100}$ = 20

⇒ 160 y = 20 × 100

⇒ y = $\dfrac{20 \times 100}{160}$

⇒ y = $\dfrac{2\cancel{0} \times 100}{16\cancel{0}}$

⇒ y = 200/16

Dividing both 200 and 16 by their GCD (which is 8), we get that

y = $\dfrac{200 \div 8}{16 \div 8}$ = 25/2 = 12.5.

Therefore, 12.5% of 160 is equal to 20.

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Remark:

If you want to calculate what percent of 160 is 20 using a calculator, then type the following:

20÷160×100

This will give you 12.5.

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