56 is what percent of 152 - step by step solution

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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 152 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 152, so we can write it down as 100%=152.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=152
2) x%=56
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%=152/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 152

100%/x%=152/56
(100/x)*x=(152/56)*x - we multiply both sides of the equation by x
100=2.71428571429*x - we divide both sides of the equation by (2.71428571429) to get x
100/2.71428571429=x
36.8421052632=x
x=36.8421052632

now we have:
56 is 36.8421052632% of 152

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