44.32 is what percent of 1116.65 - 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 1116.65 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 1116.65, so we can write it down as 100%=1116.65.
4. We know, that x% equals 44.32 of the output value, so we can write it down as x%=44.32.
5. Now we have two simple equations:
1) 100%=1116.65
2) x%=44.32
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%=1116.65/44.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.32 is what percent of 1116.65

100%/x%=1116.65/44.32
(100/x)*x=(1116.65/44.32)*x       - we multiply both sides of the equation by x
100=25.195171480144*x       - we divide both sides of the equation by (25.195171480144) to get x
100/25.195171480144=x
3.9690144629024=x
x=3.9690144629024

now we have:
44.32 is 3.9690144629024% of 1116.65