446.85 is what percent of 1837.5 - 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 1837.5 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 1837.5, so we can write it down as 100%=1837.5.
4. We know, that x% equals 446.85 of the output value, so we can write it down as x%=446.85.
5. Now we have two simple equations:
1) 100%=1837.5
2) x%=446.85
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%=1837.5/446.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.85 is what percent of 1837.5

100%/x%=1837.5/446.85
(100/x)*x=(1837.5/446.85)*x       - we multiply both sides of the equation by x
100=4.1121181604565*x       - we divide both sides of the equation by (4.1121181604565) to get x
100/4.1121181604565=x
24.318367346939=x
x=24.318367346939

now we have:
446.85 is 24.318367346939% of 1837.5