96 is what percent of 44900 - 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 44900 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 44900, so we can write it down as 100%=44900.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=44900
2) x%=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%=44900/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 44900

100%/x%=44900/96
(100/x)*x=(44900/96)*x       - we multiply both sides of the equation by x
100=467.70833333333*x       - we divide both sides of the equation by (467.70833333333) to get x
100/467.70833333333=x
0.21380846325167=x
x=0.21380846325167

now we have:
96 is 0.21380846325167% of 44900