56 is what percent of 599 - 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 599 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 599, so we can write it down as 100%=599.
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%=599
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%=599/56
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 599

100%/x%=599/56
(100/x)*x=(599/56)*x       - we multiply both sides of the equation by x
100=10.696428571429*x       - we divide both sides of the equation by (10.696428571429) to get x
100/10.696428571429=x
9.3489148580968=x
x=9.3489148580968

now we have:
56 is 9.3489148580968% of 599