359.75 is what percent of 2672.2 - 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 2672.2 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 2672.2, so we can write it down as 100%=2672.2.
4. We know, that x% equals 359.75 of the output value, so we can write it down as x%=359.75.
5. Now we have two simple equations:
1) 100%=2672.2
2) x%=359.75
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%=2672.2/359.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 359.75 is what percent of 2672.2

100%/x%=2672.2/359.75
(100/x)*x=(2672.2/359.75)*x       - we multiply both sides of the equation by x
100=7.427936066713*x       - we divide both sides of the equation by (7.427936066713) to get x
100/7.427936066713=x
13.462689918419=x
x=13.462689918419

now we have:
359.75 is 13.462689918419% of 2672.2