470.8 is what percent of 5050 - 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 5050 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 5050, so we can write it down as 100%=5050.
4. We know, that x% equals 470.8 of the output value, so we can write it down as x%=470.8.
5. Now we have two simple equations:
1) 100%=5050
2) x%=470.8
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%=5050/470.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 470.8 is what percent of 5050

100%/x%=5050/470.8
(100/x)*x=(5050/470.8)*x       - we multiply both sides of the equation by x
100=10.726423109601*x       - we divide both sides of the equation by (10.726423109601) to get x
100/10.726423109601=x
9.3227722772277=x
x=9.3227722772277

now we have:
470.8 is 9.3227722772277% of 5050