872.7 is what percent of 6308.5 - 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 6308.5 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 6308.5, so we can write it down as 100%=6308.5.
4. We know, that x% equals 872.7 of the output value, so we can write it down as x%=872.7.
5. Now we have two simple equations:
1) 100%=6308.5
2) x%=872.7
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%=6308.5/872.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 872.7 is what percent of 6308.5

100%/x%=6308.5/872.7
(100/x)*x=(6308.5/872.7)*x       - we multiply both sides of the equation by x
100=7.2287154806921*x       - we divide both sides of the equation by (7.2287154806921) to get x
100/7.2287154806921=x
13.833716414362=x
x=13.833716414362

now we have:
872.7 is 13.833716414362% of 6308.5