5996.25 is what percent of 12710.75 - 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 12710.75 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 12710.75, so we can write it down as 100%=12710.75.
4. We know, that x% equals 5996.25 of the output value, so we can write it down as x%=5996.25.
5. Now we have two simple equations:
1) 100%=12710.75
2) x%=5996.25
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%=12710.75/5996.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5996.25 is what percent of 12710.75

100%/x%=12710.75/5996.25
(100/x)*x=(12710.75/5996.25)*x       - we multiply both sides of the equation by x
100=2.119783197832*x       - we divide both sides of the equation by (2.119783197832) to get x
100/2.119783197832=x
47.174635643058=x
x=47.174635643058

now we have:
5996.25 is 47.174635643058% of 12710.75