61.5 is what percent of 157 - 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 157 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 157, so we can write it down as 100%=157.
4. We know, that x% equals 61.5 of the output value, so we can write it down as x%=61.5.
5. Now we have two simple equations:
1) 100%=157
2) x%=61.5
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%=157/61.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.5 is what percent of 157

100%/x%=157/61.5
(100/x)*x=(157/61.5)*x       - we multiply both sides of the equation by x
100=2.5528455284553*x       - we divide both sides of the equation by (2.5528455284553) to get x
100/2.5528455284553=x
39.171974522293=x
x=39.171974522293

now we have:
61.5 is 39.171974522293% of 157