383.68 is what percent of 4720 - 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 4720 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 4720, so we can write it down as 100%=4720.
4. We know, that x% equals 383.68 of the output value, so we can write it down as x%=383.68.
5. Now we have two simple equations:
1) 100%=4720
2) x%=383.68
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%=4720/383.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 383.68 is what percent of 4720

100%/x%=4720/383.68
(100/x)*x=(4720/383.68)*x       - we multiply both sides of the equation by x
100=12.301918265221*x       - we divide both sides of the equation by (12.301918265221) to get x
100/12.301918265221=x
8.128813559322=x
x=8.128813559322

now we have:
383.68 is 8.128813559322% of 4720