479.88 is what percent of 599.88 - 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 599.88 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 599.88, so we can write it down as 100%=599.88.
4. We know, that x% equals 479.88 of the output value, so we can write it down as x%=479.88.
5. Now we have two simple equations:
1) 100%=599.88
2) x%=479.88
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%=599.88/479.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 479.88 is what percent of 599.88

100%/x%=599.88/479.88
(100/x)*x=(599.88/479.88)*x       - we multiply both sides of the equation by x
100=1.2500625156289*x       - we divide both sides of the equation by (1.2500625156289) to get x
100/1.2500625156289=x
79.99599919984=x
x=79.99599919984

now we have:
479.88 is 79.99599919984% of 599.88