10488.2 is what percent of 15480.95 - 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 15480.95 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 15480.95, so we can write it down as 100%=15480.95.
4. We know, that x% equals 10488.2 of the output value, so we can write it down as x%=10488.2.
5. Now we have two simple equations:
1) 100%=15480.95
2) x%=10488.2
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%=15480.95/10488.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10488.2 is what percent of 15480.95

100%/x%=15480.95/10488.2
(100/x)*x=(15480.95/10488.2)*x       - we multiply both sides of the equation by x
100=1.4760349726359*x       - we divide both sides of the equation by (1.4760349726359) to get x
100/1.4760349726359=x
67.749072246858=x
x=67.749072246858

now we have:
10488.2 is 67.749072246858% of 15480.95