56 is what percent of 852 - 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 852 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 852, so we can write it down as 100%=852.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=852
2) x%=56
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%=852/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 852

100%/x%=852/56
(100/x)*x=(852/56)*x       - we multiply both sides of the equation by x
100=15.214285714286*x       - we divide both sides of the equation by (15.214285714286) to get x
100/15.214285714286=x
6.5727699530516=x
x=6.5727699530516

now we have:
56 is 6.5727699530516% of 852