Question

If 40% of a number is 56, what was the original number?
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Answer 1

To find out the answer, we  must first see the rationale behind this question. 

 If 40 percent of the original number is 56, then definitely the original number must be greater than 56.

Or to put it mathematically if 40 percent = 56, then 100 percent (which is the original number) must be greater than 56. So we make a calculation based on this rationale.

40%  =  56

100% = x

where x stands for the unknown number, which in our case is the original number we need to find out.

40/100 = 56

100/100= x

0.4 = 56

1     = x

0.4x = 56 * 1

x = 56*1/ 0.4

x = 56/0.4

x = 140

The original number is 140.

Let us double check this answer:

40% of 140 = ? 

40/100 * 140 =?

0.4*140 = 56 

And there we see 40% of 140 is 56. 

So our answer is correct.

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Answer 2

Answer:

$\displaystyle 140$

Step-by-step explanation:

A percentage of something is in the operation of multiplication, so you would use division [inverse operation] to figure this out:

$\displaystyle 56 \div \frac{2}{5} = \frac{28}{\frac{1}{5}} = 5 \times 28 = 140$

What I did was converted 40% to a fraction [⅖], then did my division.

I am joyous to assist you anytime.