39.41 is what percent of 449.25 - 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 449.25 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 449.25, so we can write it down as 100%=449.25.
4. We know, that x% equals 39.41 of the output value, so we can write it down as x%=39.41.
5. Now we have two simple equations:
1) 100%=449.25
2) x%=39.41
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%=449.25/39.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.41 is what percent of 449.25

100%/x%=449.25/39.41
(100/x)*x=(449.25/39.41)*x       - we multiply both sides of the equation by x
100=11.399391017508*x       - we divide both sides of the equation by (11.399391017508) to get x
100/11.399391017508=x
8.7723984418475=x
x=8.7723984418475

now we have:
39.41 is 8.7723984418475% of 449.25