62.22 is what percent of 517.2 - 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 517.2 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 517.2, so we can write it down as 100%=517.2.
4. We know, that x% equals 62.22 of the output value, so we can write it down as x%=62.22.
5. Now we have two simple equations:
1) 100%=517.2
2) x%=62.22
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%=517.2/62.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.22 is what percent of 517.2

100%/x%=517.2/62.22
(100/x)*x=(517.2/62.22)*x       - we multiply both sides of the equation by x
100=8.3124397299904*x       - we divide both sides of the equation by (8.3124397299904) to get x
100/8.3124397299904=x
12.030162412993=x
x=12.030162412993

now we have:
62.22 is 12.030162412993% of 517.2