371.6 is what percent of 1365.5 - 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 1365.5 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 1365.5, so we can write it down as 100%=1365.5.
4. We know, that x% equals 371.6 of the output value, so we can write it down as x%=371.6.
5. Now we have two simple equations:
1) 100%=1365.5
2) x%=371.6
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%=1365.5/371.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.6 is what percent of 1365.5

100%/x%=1365.5/371.6
(100/x)*x=(1365.5/371.6)*x       - we multiply both sides of the equation by x
100=3.6746501614639*x       - we divide both sides of the equation by (3.6746501614639) to get x
100/3.6746501614639=x
27.213474917613=x
x=27.213474917613

now we have:
371.6 is 27.213474917613% of 1365.5