59.08 is what percent of 5959.08 - 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 5959.08 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 5959.08, so we can write it down as 100%=5959.08.
4. We know, that x% equals 59.08 of the output value, so we can write it down as x%=59.08.
5. Now we have two simple equations:
1) 100%=5959.08
2) x%=59.08
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%=5959.08/59.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.08 is what percent of 5959.08

100%/x%=5959.08/59.08
(100/x)*x=(5959.08/59.08)*x       - we multiply both sides of the equation by x
100=100.86459038592*x       - we divide both sides of the equation by (100.86459038592) to get x
100/100.86459038592=x
0.99142820703867=x
x=0.99142820703867

now we have:
59.08 is 0.99142820703867% of 5959.08