56.51 is what percent of 70.85 - 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 70.85 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 70.85, so we can write it down as 100%=70.85.
4. We know, that x% equals 56.51 of the output value, so we can write it down as x%=56.51.
5. Now we have two simple equations:
1) 100%=70.85
2) x%=56.51
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%=70.85/56.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.51 is what percent of 70.85

100%/x%=70.85/56.51
(100/x)*x=(70.85/56.51)*x       - we multiply both sides of the equation by x
100=1.25376039639*x       - we divide both sides of the equation by (1.25376039639) to get x
100/1.25376039639=x
79.760056457304=x
x=79.760056457304

now we have:
56.51 is 79.760056457304% of 70.85