130.94 is what percent of 724.8 - 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 724.8 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 724.8, so we can write it down as 100%=724.8.
4. We know, that x% equals 130.94 of the output value, so we can write it down as x%=130.94.
5. Now we have two simple equations:
1) 100%=724.8
2) x%=130.94
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%=724.8/130.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 130.94 is what percent of 724.8

100%/x%=724.8/130.94
(100/x)*x=(724.8/130.94)*x       - we multiply both sides of the equation by x
100=5.5353597067359*x       - we divide both sides of the equation by (5.5353597067359) to get x
100/5.5353597067359=x
18.065673289183=x
x=18.065673289183

now we have:
130.94 is 18.065673289183% of 724.8