39.55 is what percent of 1360 - 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 1360 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 1360, so we can write it down as 100%=1360.
4. We know, that x% equals 39.55 of the output value, so we can write it down as x%=39.55.
5. Now we have two simple equations:
1) 100%=1360
2) x%=39.55
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%=1360/39.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.55 is what percent of 1360

100%/x%=1360/39.55
(100/x)*x=(1360/39.55)*x       - we multiply both sides of the equation by x
100=34.386852085967*x       - we divide both sides of the equation by (34.386852085967) to get x
100/34.386852085967=x
2.9080882352941=x
x=2.9080882352941

now we have:
39.55 is 2.9080882352941% of 1360