56.86 is what percent of 133.72 - step by step solution

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

1. We assume, that the number 133.72 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 133.72, so we can write it down as 100%=133.72.
4. We know, that x% equals 56.86 of the output value, so we can write it down as x%=56.86.
5. Now we have two simple equations:
1) 100%=133.72
2) x%=56.86
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%=133.72/56.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.86 is what percent of 133.72

100%/x%=133.72/56.86
(100/x)*x=(133.72/56.86)*x       - we multiply both sides of the equation by x
100=2.3517411185368*x       - we divide both sides of the equation by (2.3517411185368) to get x
100/2.3517411185368=x
42.521687107389=x
x=42.521687107389

now we have:
56.86 is 42.521687107389% of 133.72