5524.62 is what percent of 7701.45 - 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 7701.45 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 7701.45, so we can write it down as 100%=7701.45.
4. We know, that x% equals 5524.62 of the output value, so we can write it down as x%=5524.62.
5. Now we have two simple equations:
1) 100%=7701.45
2) x%=5524.62
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%=7701.45/5524.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5524.62 is what percent of 7701.45

100%/x%=7701.45/5524.62
(100/x)*x=(7701.45/5524.62)*x       - we multiply both sides of the equation by x
100=1.394023480348*x       - we divide both sides of the equation by (1.394023480348) to get x
100/1.394023480348=x
71.734803186413=x
x=71.734803186413

now we have:
5524.62 is 71.734803186413% of 7701.45