8377.46 is what percent of 54261.6 - 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 54261.6 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 54261.6, so we can write it down as 100%=54261.6.
4. We know, that x% equals 8377.46 of the output value, so we can write it down as x%=8377.46.
5. Now we have two simple equations:
1) 100%=54261.6
2) x%=8377.46
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%=54261.6/8377.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8377.46 is what percent of 54261.6

100%/x%=54261.6/8377.46
(100/x)*x=(54261.6/8377.46)*x       - we multiply both sides of the equation by x
100=6.4770944892605*x       - we divide both sides of the equation by (6.4770944892605) to get x
100/6.4770944892605=x
15.439021333687=x
x=15.439021333687

now we have:
8377.46 is 15.439021333687% of 54261.6