# 40 is what percent of 112 - step by step solution

## Simple and best practice solution for 40 is what percent of 112. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 112, so we can write it down as 100%=112.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=112
2) x%=40
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=112/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 112

100%/x%=112/40
(100/x)*x=(112/40)*x - we multiply both sides of the equation by x
100=2.8*x - we divide both sides of the equation by (2.8) to get x
100/2.8=x
35.7142857143=x
x=35.7142857143

now we have:
40 is 35.7142857143% of 112

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