372.88 is what percent of 1772.88 - 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 1772.88 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 1772.88, so we can write it down as 100%=1772.88.
4. We know, that x% equals 372.88 of the output value, so we can write it down as x%=372.88.
5. Now we have two simple equations:
1) 100%=1772.88
2) x%=372.88
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%=1772.88/372.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 372.88 is what percent of 1772.88

100%/x%=1772.88/372.88
(100/x)*x=(1772.88/372.88)*x       - we multiply both sides of the equation by x
100=4.7545591074877*x       - we divide both sides of the equation by (4.7545591074877) to get x
100/4.7545591074877=x
21.032444384279=x
x=21.032444384279

now we have:
372.88 is 21.032444384279% of 1772.88