58.5 is what percent of 2652 - 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 2652 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 2652, so we can write it down as 100%=2652.
4. We know, that x% equals 58.5 of the output value, so we can write it down as x%=58.5.
5. Now we have two simple equations:
1) 100%=2652
2) x%=58.5
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%=2652/58.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.5 is what percent of 2652

100%/x%=2652/58.5
(100/x)*x=(2652/58.5)*x       - we multiply both sides of the equation by x
100=45.333333333333*x       - we divide both sides of the equation by (45.333333333333) to get x
100/45.333333333333=x
2.2058823529412=x
x=2.2058823529412

now we have:
58.5 is 2.2058823529412% of 2652