74.84 is what percent of 448.36 - 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 448.36 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 448.36, so we can write it down as 100%=448.36.
4. We know, that x% equals 74.84 of the output value, so we can write it down as x%=74.84.
5. Now we have two simple equations:
1) 100%=448.36
2) x%=74.84
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%=448.36/74.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.84 is what percent of 448.36

100%/x%=448.36/74.84
(100/x)*x=(448.36/74.84)*x       - we multiply both sides of the equation by x
100=5.9909139497595*x       - we divide both sides of the equation by (5.9909139497595) to get x
100/5.9909139497595=x
16.691943973593=x
x=16.691943973593

now we have:
74.84 is 16.691943973593% of 448.36