29.52 is what percent of 45.61 - 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 45.61 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 45.61, so we can write it down as 100%=45.61.
4. We know, that x% equals 29.52 of the output value, so we can write it down as x%=29.52.
5. Now we have two simple equations:
1) 100%=45.61
2) x%=29.52
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%=45.61/29.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.52 is what percent of 45.61

100%/x%=45.61/29.52
(100/x)*x=(45.61/29.52)*x       - we multiply both sides of the equation by x
100=1.545054200542*x       - we divide both sides of the equation by (1.545054200542) to get x
100/1.545054200542=x
64.722648541986=x
x=64.722648541986

now we have:
29.52 is 64.722648541986% of 45.61