58.87 is what percent of 827.2 - 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 827.2 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 827.2, so we can write it down as 100%=827.2.
4. We know, that x% equals 58.87 of the output value, so we can write it down as x%=58.87.
5. Now we have two simple equations:
1) 100%=827.2
2) x%=58.87
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%=827.2/58.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.87 is what percent of 827.2

100%/x%=827.2/58.87
(100/x)*x=(827.2/58.87)*x       - we multiply both sides of the equation by x
100=14.051299473416*x       - we divide both sides of the equation by (14.051299473416) to get x
100/14.051299473416=x
7.1167794970986=x
x=7.1167794970986

now we have:
58.87 is 7.1167794970986% of 827.2