120.39 is what percent of 1624.72 - 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 1624.72 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 1624.72, so we can write it down as 100%=1624.72.
4. We know, that x% equals 120.39 of the output value, so we can write it down as x%=120.39.
5. Now we have two simple equations:
1) 100%=1624.72
2) x%=120.39
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%=1624.72/120.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.39 is what percent of 1624.72

100%/x%=1624.72/120.39
(100/x)*x=(1624.72/120.39)*x       - we multiply both sides of the equation by x
100=13.495473045934*x       - we divide both sides of the equation by (13.495473045934) to get x
100/13.495473045934=x
7.4098921660348=x
x=7.4098921660348

now we have:
120.39 is 7.4098921660348% of 1624.72