385.16 is what percent of 8720.11 - 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 8720.11 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 8720.11, so we can write it down as 100%=8720.11.
4. We know, that x% equals 385.16 of the output value, so we can write it down as x%=385.16.
5. Now we have two simple equations:
1) 100%=8720.11
2) x%=385.16
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%=8720.11/385.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 385.16 is what percent of 8720.11

100%/x%=8720.11/385.16
(100/x)*x=(8720.11/385.16)*x       - we multiply both sides of the equation by x
100=22.640227437948*x       - we divide both sides of the equation by (22.640227437948) to get x
100/22.640227437948=x
4.4169167590776=x
x=4.4169167590776

now we have:
385.16 is 4.4169167590776% of 8720.11