59 is what percent of 904 - 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 904 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 904, so we can write it down as 100%=904.
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%=904
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%=904/59
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 904

100%/x%=904/59
(100/x)*x=(904/59)*x       - we multiply both sides of the equation by x
100=15.322033898305*x       - we divide both sides of the equation by (15.322033898305) to get x
100/15.322033898305=x
6.5265486725664=x
x=6.5265486725664

now we have:
59 is 6.5265486725664% of 904