98.74 is what percent of 404.88 - 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 404.88 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 404.88, so we can write it down as 100%=404.88.
4. We know, that x% equals 98.74 of the output value, so we can write it down as x%=98.74.
5. Now we have two simple equations:
1) 100%=404.88
2) x%=98.74
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%=404.88/98.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.74 is what percent of 404.88

100%/x%=404.88/98.74
(100/x)*x=(404.88/98.74)*x       - we multiply both sides of the equation by x
100=4.1004658699615*x       - we divide both sides of the equation by (4.1004658699615) to get x
100/4.1004658699615=x
24.387472831456=x
x=24.387472831456

now we have:
98.74 is 24.387472831456% of 404.88