59 is what percent of 5304 - 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 5304 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 5304, so we can write it down as 100%=5304.
4. We know, that x% equals 59 of the output value, so we can write it down as x%=59.
5. Now we have two simple equations:
1) 100%=5304
2) x%=59
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%=5304/59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59 is what percent of 5304

100%/x%=5304/59
(100/x)*x=(5304/59)*x       - we multiply both sides of the equation by x
100=89.898305084746*x       - we divide both sides of the equation by (89.898305084746) to get x
100/89.898305084746=x
1.1123680241327=x
x=1.1123680241327

now we have:
59 is 1.1123680241327% of 5304