32.5 is what percent of 56.73 - 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 56.73 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 56.73, so we can write it down as 100%=56.73.
4. We know, that x% equals 32.5 of the output value, so we can write it down as x%=32.5.
5. Now we have two simple equations:
1) 100%=56.73
2) x%=32.5
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%=56.73/32.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.5 is what percent of 56.73

100%/x%=56.73/32.5
(100/x)*x=(56.73/32.5)*x       - we multiply both sides of the equation by x
100=1.7455384615385*x       - we divide both sides of the equation by (1.7455384615385) to get x
100/1.7455384615385=x
57.288912392032=x
x=57.288912392032

now we have:
32.5 is 57.288912392032% of 56.73