59.89 is what percent of 683.98 - 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 683.98 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 683.98, so we can write it down as 100%=683.98.
4. We know, that x% equals 59.89 of the output value, so we can write it down as x%=59.89.
5. Now we have two simple equations:
1) 100%=683.98
2) x%=59.89
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%=683.98/59.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.89 is what percent of 683.98

100%/x%=683.98/59.89
(100/x)*x=(683.98/59.89)*x       - we multiply both sides of the equation by x
100=11.420604441476*x       - we divide both sides of the equation by (11.420604441476) to get x
100/11.420604441476=x
8.7561039796485=x
x=8.7561039796485

now we have:
59.89 is 8.7561039796485% of 683.98