57.95 is what percent of 97.89 - 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 97.89 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 97.89, so we can write it down as 100%=97.89.
4. We know, that x% equals 57.95 of the output value, so we can write it down as x%=57.95.
5. Now we have two simple equations:
1) 100%=97.89
2) x%=57.95
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%=97.89/57.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.95 is what percent of 97.89

100%/x%=97.89/57.95
(100/x)*x=(97.89/57.95)*x       - we multiply both sides of the equation by x
100=1.6892148403796*x       - we divide both sides of the equation by (1.6892148403796) to get x
100/1.6892148403796=x
59.19910103177=x
x=59.19910103177

now we have:
57.95 is 59.19910103177% of 97.89