8.96 is what percent of 44.82 - 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 44.82 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 44.82, so we can write it down as 100%=44.82.
4. We know, that x% equals 8.96 of the output value, so we can write it down as x%=8.96.
5. Now we have two simple equations:
1) 100%=44.82
2) x%=8.96
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%=44.82/8.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.96 is what percent of 44.82

100%/x%=44.82/8.96
(100/x)*x=(44.82/8.96)*x       - we multiply both sides of the equation by x
100=5.0022321428571*x       - we divide both sides of the equation by (5.0022321428571) to get x
100/5.0022321428571=x
19.991075412762=x
x=19.991075412762

now we have:
8.96 is 19.991075412762% of 44.82