501.75 is what percent of 10721.87 - 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 10721.87 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 10721.87, so we can write it down as 100%=10721.87.
4. We know, that x% equals 501.75 of the output value, so we can write it down as x%=501.75.
5. Now we have two simple equations:
1) 100%=10721.87
2) x%=501.75
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%=10721.87/501.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.75 is what percent of 10721.87

100%/x%=10721.87/501.75
(100/x)*x=(10721.87/501.75)*x       - we multiply both sides of the equation by x
100=21.368948679621*x       - we divide both sides of the equation by (21.368948679621) to get x
100/21.368948679621=x
4.6796874052754=x
x=4.6796874052754

now we have:
501.75 is 4.6796874052754% of 10721.87