44.71 is what percent of 492.4 - 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 492.4 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 492.4, so we can write it down as 100%=492.4.
4. We know, that x% equals 44.71 of the output value, so we can write it down as x%=44.71.
5. Now we have two simple equations:
1) 100%=492.4
2) x%=44.71
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%=492.4/44.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.71 is what percent of 492.4

100%/x%=492.4/44.71
(100/x)*x=(492.4/44.71)*x       - we multiply both sides of the equation by x
100=11.013196152986*x       - we divide both sides of the equation by (11.013196152986) to get x
100/11.013196152986=x
9.0800162469537=x
x=9.0800162469537

now we have:
44.71 is 9.0800162469537% of 492.4