6174.5 is what percent of 8502.53 - 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 8502.53 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 8502.53, so we can write it down as 100%=8502.53.
4. We know, that x% equals 6174.5 of the output value, so we can write it down as x%=6174.5.
5. Now we have two simple equations:
1) 100%=8502.53
2) x%=6174.5
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%=8502.53/6174.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6174.5 is what percent of 8502.53

100%/x%=8502.53/6174.5
(100/x)*x=(8502.53/6174.5)*x       - we multiply both sides of the equation by x
100=1.3770394363916*x       - we divide both sides of the equation by (1.3770394363916) to get x
100/1.3770394363916=x
72.619561471703=x
x=72.619561471703

now we have:
6174.5 is 72.619561471703% of 8502.53