161.45 is what percent of 252.05 - 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 252.05 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 252.05, so we can write it down as 100%=252.05.
4. We know, that x% equals 161.45 of the output value, so we can write it down as x%=161.45.
5. Now we have two simple equations:
1) 100%=252.05
2) x%=161.45
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%=252.05/161.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.45 is what percent of 252.05

100%/x%=252.05/161.45
(100/x)*x=(252.05/161.45)*x       - we multiply both sides of the equation by x
100=1.5611644471973*x       - we divide both sides of the equation by (1.5611644471973) to get x
100/1.5611644471973=x
64.05475104146=x
x=64.05475104146

now we have:
161.45 is 64.05475104146% of 252.05