379.79 is what percent of 2311.38 - 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 2311.38 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 2311.38, so we can write it down as 100%=2311.38.
4. We know, that x% equals 379.79 of the output value, so we can write it down as x%=379.79.
5. Now we have two simple equations:
1) 100%=2311.38
2) x%=379.79
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%=2311.38/379.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.79 is what percent of 2311.38

100%/x%=2311.38/379.79
(100/x)*x=(2311.38/379.79)*x       - we multiply both sides of the equation by x
100=6.085942231233*x       - we divide both sides of the equation by (6.085942231233) to get x
100/6.085942231233=x
16.431309434191=x
x=16.431309434191

now we have:
379.79 is 16.431309434191% of 2311.38