110.7 is what percent of 730 - 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 730 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 730, so we can write it down as 100%=730.
4. We know, that x% equals 110.7 of the output value, so we can write it down as x%=110.7.
5. Now we have two simple equations:
1) 100%=730
2) x%=110.7
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%=730/110.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.7 is what percent of 730

100%/x%=730/110.7
(100/x)*x=(730/110.7)*x       - we multiply both sides of the equation by x
100=6.5943992773261*x       - we divide both sides of the equation by (6.5943992773261) to get x
100/6.5943992773261=x
15.164383561644=x
x=15.164383561644

now we have:
110.7 is 15.164383561644% of 730