52 is what percent of 578 - 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 578 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 578, so we can write it down as 100%=578.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=578
2) x%=52
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%=578/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 578

100%/x%=578/52
(100/x)*x=(578/52)*x       - we multiply both sides of the equation by x
100=11.115384615385*x       - we divide both sides of the equation by (11.115384615385) to get x
100/11.115384615385=x
8.9965397923875=x
x=8.9965397923875

now we have:
52 is 8.9965397923875% of 578