74.48 is what percent of 444.8 - 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 444.8 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 444.8, so we can write it down as 100%=444.8.
4. We know, that x% equals 74.48 of the output value, so we can write it down as x%=74.48.
5. Now we have two simple equations:
1) 100%=444.8
2) x%=74.48
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%=444.8/74.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.48 is what percent of 444.8

100%/x%=444.8/74.48
(100/x)*x=(444.8/74.48)*x       - we multiply both sides of the equation by x
100=5.9720730397422*x       - we divide both sides of the equation by (5.9720730397422) to get x
100/5.9720730397422=x
16.744604316547=x
x=16.744604316547

now we have:
74.48 is 16.744604316547% of 444.8