104.25 is what percent of 2219.88 - 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 2219.88 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 2219.88, so we can write it down as 100%=2219.88.
4. We know, that x% equals 104.25 of the output value, so we can write it down as x%=104.25.
5. Now we have two simple equations:
1) 100%=2219.88
2) x%=104.25
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%=2219.88/104.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.25 is what percent of 2219.88

100%/x%=2219.88/104.25
(100/x)*x=(2219.88/104.25)*x       - we multiply both sides of the equation by x
100=21.29381294964*x       - we divide both sides of the equation by (21.29381294964) to get x
100/21.29381294964=x
4.6961997945835=x
x=4.6961997945835

now we have:
104.25 is 4.6961997945835% of 2219.88