780.21 is what percent of 724.14 - 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 724.14 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 724.14, so we can write it down as 100%=724.14.
4. We know, that x% equals 780.21 of the output value, so we can write it down as x%=780.21.
5. Now we have two simple equations:
1) 100%=724.14
2) x%=780.21
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%=724.14/780.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 780.21 is what percent of 724.14

100%/x%=724.14/780.21
(100/x)*x=(724.14/780.21)*x       - we multiply both sides of the equation by x
100=0.92813473295651*x       - we divide both sides of the equation by (0.92813473295651) to get x
100/0.92813473295651=x
107.74297787721=x
x=107.74297787721

now we have:
780.21 is 107.74297787721% of 724.14