479.99 is what percent of 1422.81 - 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 1422.81 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 1422.81, so we can write it down as 100%=1422.81.
4. We know, that x% equals 479.99 of the output value, so we can write it down as x%=479.99.
5. Now we have two simple equations:
1) 100%=1422.81
2) x%=479.99
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%=1422.81/479.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 479.99 is what percent of 1422.81

100%/x%=1422.81/479.99
(100/x)*x=(1422.81/479.99)*x       - we multiply both sides of the equation by x
100=2.9642492551928*x       - we divide both sides of the equation by (2.9642492551928) to get x
100/2.9642492551928=x
33.735354685446=x
x=33.735354685446

now we have:
479.99 is 33.735354685446% of 1422.81