56.65 is what percent of 78.25 - 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 78.25 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 78.25, so we can write it down as 100%=78.25.
4. We know, that x% equals 56.65 of the output value, so we can write it down as x%=56.65.
5. Now we have two simple equations:
1) 100%=78.25
2) x%=56.65
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%=78.25/56.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.65 is what percent of 78.25

100%/x%=78.25/56.65
(100/x)*x=(78.25/56.65)*x       - we multiply both sides of the equation by x
100=1.3812886142983*x       - we divide both sides of the equation by (1.3812886142983) to get x
100/1.3812886142983=x
72.396166134185=x
x=72.396166134185

now we have:
56.65 is 72.396166134185% of 78.25