562.42 is what percent of 781 - 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 781 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 781, so we can write it down as 100%=781.
4. We know, that x% equals 562.42 of the output value, so we can write it down as x%=562.42.
5. Now we have two simple equations:
1) 100%=781
2) x%=562.42
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%=781/562.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 562.42 is what percent of 781

100%/x%=781/562.42
(100/x)*x=(781/562.42)*x       - we multiply both sides of the equation by x
100=1.388641940187*x       - we divide both sides of the equation by (1.388641940187) to get x
100/1.388641940187=x
72.012804097311=x
x=72.012804097311

now we have:
562.42 is 72.012804097311% of 781