3.59 is what percent of 44.48 - 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 44.48 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 44.48, so we can write it down as 100%=44.48.
4. We know, that x% equals 3.59 of the output value, so we can write it down as x%=3.59.
5. Now we have two simple equations:
1) 100%=44.48
2) x%=3.59
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%=44.48/3.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.59 is what percent of 44.48

100%/x%=44.48/3.59
(100/x)*x=(44.48/3.59)*x       - we multiply both sides of the equation by x
100=12.389972144847*x       - we divide both sides of the equation by (12.389972144847) to get x
100/12.389972144847=x
8.0710431654676=x
x=8.0710431654676

now we have:
3.59 is 8.0710431654676% of 44.48