44.08 is what percent of 464 - 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 464 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 464, so we can write it down as 100%=464.
4. We know, that x% equals 44.08 of the output value, so we can write it down as x%=44.08.
5. Now we have two simple equations:
1) 100%=464
2) x%=44.08
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%=464/44.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.08 is what percent of 464

100%/x%=464/44.08
(100/x)*x=(464/44.08)*x       - we multiply both sides of the equation by x
100=10.526315789474*x       - we divide both sides of the equation by (10.526315789474) to get x
100/10.526315789474=x
9.5=x
x=9.5

now we have:
44.08 is 9.5% of 464