72.8 is what percent of 1360.9 - 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 1360.9 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 1360.9, so we can write it down as 100%=1360.9.
4. We know, that x% equals 72.8 of the output value, so we can write it down as x%=72.8.
5. Now we have two simple equations:
1) 100%=1360.9
2) x%=72.8
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%=1360.9/72.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.8 is what percent of 1360.9

100%/x%=1360.9/72.8
(100/x)*x=(1360.9/72.8)*x       - we multiply both sides of the equation by x
100=18.693681318681*x       - we divide both sides of the equation by (18.693681318681) to get x
100/18.693681318681=x
5.3494011316041=x
x=5.3494011316041

now we have:
72.8 is 5.3494011316041% of 1360.9