109.35 is what percent of 5522.48 - 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 5522.48 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 5522.48, so we can write it down as 100%=5522.48.
4. We know, that x% equals 109.35 of the output value, so we can write it down as x%=109.35.
5. Now we have two simple equations:
1) 100%=5522.48
2) x%=109.35
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%=5522.48/109.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.35 is what percent of 5522.48

100%/x%=5522.48/109.35
(100/x)*x=(5522.48/109.35)*x       - we multiply both sides of the equation by x
100=50.502789208962*x       - we divide both sides of the equation by (50.502789208962) to get x
100/50.502789208962=x
1.9800886558213=x
x=1.9800886558213

now we have:
109.35 is 1.9800886558213% of 5522.48