446.25 is what percent of 9088 - 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 9088 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 9088, so we can write it down as 100%=9088.
4. We know, that x% equals 446.25 of the output value, so we can write it down as x%=446.25.
5. Now we have two simple equations:
1) 100%=9088
2) x%=446.25
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%=9088/446.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.25 is what percent of 9088

100%/x%=9088/446.25
(100/x)*x=(9088/446.25)*x       - we multiply both sides of the equation by x
100=20.365266106443*x       - we divide both sides of the equation by (20.365266106443) to get x
100/20.365266106443=x
4.9103213028169=x
x=4.9103213028169

now we have:
446.25 is 4.9103213028169% of 9088