446.4 is what percent of 2250 - 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 2250 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 2250, so we can write it down as 100%=2250.
4. We know, that x% equals 446.4 of the output value, so we can write it down as x%=446.4.
5. Now we have two simple equations:
1) 100%=2250
2) x%=446.4
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%=2250/446.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.4 is what percent of 2250

100%/x%=2250/446.4
(100/x)*x=(2250/446.4)*x       - we multiply both sides of the equation by x
100=5.0403225806452*x       - we divide both sides of the equation by (5.0403225806452) to get x
100/5.0403225806452=x
19.84=x
x=19.84

now we have:
446.4 is 19.84% of 2250