588.88 is what percent of 2665.98 - 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 2665.98 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 2665.98, so we can write it down as 100%=2665.98.
4. We know, that x% equals 588.88 of the output value, so we can write it down as x%=588.88.
5. Now we have two simple equations:
1) 100%=2665.98
2) x%=588.88
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%=2665.98/588.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 588.88 is what percent of 2665.98

100%/x%=2665.98/588.88
(100/x)*x=(2665.98/588.88)*x       - we multiply both sides of the equation by x
100=4.5272041842141*x       - we divide both sides of the equation by (4.5272041842141) to get x
100/4.5272041842141=x
22.088687837118=x
x=22.088687837118

now we have:
588.88 is 22.088687837118% of 2665.98