6297.5 is what percent of 6708 - 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 6708 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 6708, so we can write it down as 100%=6708.
4. We know, that x% equals 6297.5 of the output value, so we can write it down as x%=6297.5.
5. Now we have two simple equations:
1) 100%=6708
2) x%=6297.5
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%=6708/6297.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6297.5 is what percent of 6708

100%/x%=6708/6297.5
(100/x)*x=(6708/6297.5)*x       - we multiply both sides of the equation by x
100=1.0651845970623*x       - we divide both sides of the equation by (1.0651845970623) to get x
100/1.0651845970623=x
93.880441264162=x
x=93.880441264162

now we have:
6297.5 is 93.880441264162% of 6708