58.99 is what percent of 70.64 - 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 70.64 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 70.64, so we can write it down as 100%=70.64.
4. We know, that x% equals 58.99 of the output value, so we can write it down as x%=58.99.
5. Now we have two simple equations:
1) 100%=70.64
2) x%=58.99
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%=70.64/58.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.99 is what percent of 70.64

100%/x%=70.64/58.99
(100/x)*x=(70.64/58.99)*x       - we multiply both sides of the equation by x
100=1.1974911001865*x       - we divide both sides of the equation by (1.1974911001865) to get x
100/1.1974911001865=x
83.507927519819=x
x=83.507927519819

now we have:
58.99 is 83.507927519819% of 70.64