61.89 is what percent of 515.75 - 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 515.75 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 515.75, so we can write it down as 100%=515.75.
4. We know, that x% equals 61.89 of the output value, so we can write it down as x%=61.89.
5. Now we have two simple equations:
1) 100%=515.75
2) x%=61.89
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%=515.75/61.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.89 is what percent of 515.75

100%/x%=515.75/61.89
(100/x)*x=(515.75/61.89)*x       - we multiply both sides of the equation by x
100=8.3333333333333*x       - we divide both sides of the equation by (8.3333333333333) to get x
100/8.3333333333333=x
12=x
x=12

now we have:
61.89 is 12% of 515.75