44.3 is what percent of 440.8 - 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 440.8 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 440.8, so we can write it down as 100%=440.8.
4. We know, that x% equals 44.3 of the output value, so we can write it down as x%=44.3.
5. Now we have two simple equations:
1) 100%=440.8
2) x%=44.3
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%=440.8/44.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.3 is what percent of 440.8

100%/x%=440.8/44.3
(100/x)*x=(440.8/44.3)*x       - we multiply both sides of the equation by x
100=9.9503386004515*x       - we divide both sides of the equation by (9.9503386004515) to get x
100/9.9503386004515=x
10.049909255898=x
x=10.049909255898

now we have:
44.3 is 10.049909255898% of 440.8