5502.05 is what percent of 6122.5 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 6122.5 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 6122.5, so we can write it down as 100%=6122.5.
4. We know, that x% equals 5502.05 of the output value, so we can write it down as x%=5502.05.
5. Now we have two simple equations:
1) 100%=6122.5
2) x%=5502.05
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%=6122.5/5502.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5502.05 is what percent of 6122.5

100%/x%=6122.5/5502.05
(100/x)*x=(6122.5/5502.05)*x       - we multiply both sides of the equation by x
100=1.1127670595505*x       - we divide both sides of the equation by (1.1127670595505) to get x
100/1.1127670595505=x
89.866067782768=x
x=89.866067782768

now we have:
5502.05 is 89.866067782768% of 6122.5

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