32 is what percent of 56.77 - 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 56.77 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 56.77, so we can write it down as 100%=56.77.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=56.77
2) x%=32
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%=56.77/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 56.77

100%/x%=56.77/32
(100/x)*x=(56.77/32)*x       - we multiply both sides of the equation by x
100=1.7740625*x       - we divide both sides of the equation by (1.7740625) to get x
100/1.7740625=x
56.36779989431=x
x=56.36779989431

now we have:
32 is 56.36779989431% of 56.77