367.6 is what percent of 2775.78 - 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 2775.78 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 2775.78, so we can write it down as 100%=2775.78.
4. We know, that x% equals 367.6 of the output value, so we can write it down as x%=367.6.
5. Now we have two simple equations:
1) 100%=2775.78
2) x%=367.6
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%=2775.78/367.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.6 is what percent of 2775.78

100%/x%=2775.78/367.6
(100/x)*x=(2775.78/367.6)*x       - we multiply both sides of the equation by x
100=7.5510881392818*x       - we divide both sides of the equation by (7.5510881392818) to get x
100/7.5510881392818=x
13.243124455108=x
x=13.243124455108

now we have:
367.6 is 13.243124455108% of 2775.78