56 is what percent of 529 - 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 529 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 529, so we can write it down as 100%=529.
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%=529
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%=529/56
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 529

100%/x%=529/56
(100/x)*x=(529/56)*x       - we multiply both sides of the equation by x
100=9.4464285714286*x       - we divide both sides of the equation by (9.4464285714286) to get x
100/9.4464285714286=x
10.586011342155=x
x=10.586011342155

now we have:
56 is 10.586011342155% of 529