685.13 is what percent of 6300 - 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 6300 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 6300, so we can write it down as 100%=6300.
4. We know, that x% equals 685.13 of the output value, so we can write it down as x%=685.13.
5. Now we have two simple equations:
1) 100%=6300
2) x%=685.13
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%=6300/685.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 685.13 is what percent of 6300

100%/x%=6300/685.13
(100/x)*x=(6300/685.13)*x       - we multiply both sides of the equation by x
100=9.1953351918614*x       - we divide both sides of the equation by (9.1953351918614) to get x
100/9.1953351918614=x
10.875079365079=x
x=10.875079365079

now we have:
685.13 is 10.875079365079% of 6300