157.24 is what percent of 252.61 - 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 252.61 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 252.61, so we can write it down as 100%=252.61.
4. We know, that x% equals 157.24 of the output value, so we can write it down as x%=157.24.
5. Now we have two simple equations:
1) 100%=252.61
2) x%=157.24
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%=252.61/157.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.24 is what percent of 252.61

100%/x%=252.61/157.24
(100/x)*x=(252.61/157.24)*x       - we multiply both sides of the equation by x
100=1.6065250572373*x       - we divide both sides of the equation by (1.6065250572373) to get x
100/1.6065250572373=x
62.246150191996=x
x=62.246150191996

now we have:
157.24 is 62.246150191996% of 252.61