370.2 is what percent of 2723.7 - 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 2723.7 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 2723.7, so we can write it down as 100%=2723.7.
4. We know, that x% equals 370.2 of the output value, so we can write it down as x%=370.2.
5. Now we have two simple equations:
1) 100%=2723.7
2) x%=370.2
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%=2723.7/370.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 370.2 is what percent of 2723.7

100%/x%=2723.7/370.2
(100/x)*x=(2723.7/370.2)*x       - we multiply both sides of the equation by x
100=7.3573743922204*x       - we divide both sides of the equation by (7.3573743922204) to get x
100/7.3573743922204=x
13.591805264897=x
x=13.591805264897

now we have:
370.2 is 13.591805264897% of 2723.7