713.39 is what percent of 8146.21 - 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 8146.21 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 8146.21, so we can write it down as 100%=8146.21.
4. We know, that x% equals 713.39 of the output value, so we can write it down as x%=713.39.
5. Now we have two simple equations:
1) 100%=8146.21
2) x%=713.39
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%=8146.21/713.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 713.39 is what percent of 8146.21

100%/x%=8146.21/713.39
(100/x)*x=(8146.21/713.39)*x       - we multiply both sides of the equation by x
100=11.419013442857*x       - we divide both sides of the equation by (11.419013442857) to get x
100/11.419013442857=x
8.7573239580124=x
x=8.7573239580124

now we have:
713.39 is 8.7573239580124% of 8146.21