616.24 is what percent of 6500 - 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 6500 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 6500, so we can write it down as 100%=6500.
4. We know, that x% equals 616.24 of the output value, so we can write it down as x%=616.24.
5. Now we have two simple equations:
1) 100%=6500
2) x%=616.24
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%=6500/616.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 616.24 is what percent of 6500

100%/x%=6500/616.24
(100/x)*x=(6500/616.24)*x       - we multiply both sides of the equation by x
100=10.547838504479*x       - we divide both sides of the equation by (10.547838504479) to get x
100/10.547838504479=x
9.4806153846154=x
x=9.4806153846154

now we have:
616.24 is 9.4806153846154% of 6500