501.07 is what percent of 4200.7 - 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 4200.7 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 4200.7, so we can write it down as 100%=4200.7.
4. We know, that x% equals 501.07 of the output value, so we can write it down as x%=501.07.
5. Now we have two simple equations:
1) 100%=4200.7
2) x%=501.07
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%=4200.7/501.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 501.07 is what percent of 4200.7

100%/x%=4200.7/501.07
(100/x)*x=(4200.7/501.07)*x       - we multiply both sides of the equation by x
100=8.3834593968907*x       - we divide both sides of the equation by (8.3834593968907) to get x
100/8.3834593968907=x
11.928250053563=x
x=11.928250053563

now we have:
501.07 is 11.928250053563% of 4200.7