0.44 is what percent of 89.57 - 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 89.57 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 89.57, so we can write it down as 100%=89.57.
4. We know, that x% equals 0.44 of the output value, so we can write it down as x%=0.44.
5. Now we have two simple equations:
1) 100%=89.57
2) x%=0.44
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%=89.57/0.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.44 is what percent of 89.57

100%/x%=89.57/0.44
(100/x)*x=(89.57/0.44)*x       - we multiply both sides of the equation by x
100=203.56818181818*x       - we divide both sides of the equation by (203.56818181818) to get x
100/203.56818181818=x
0.49123590487887=x
x=0.49123590487887

now we have:
0.44 is 0.49123590487887% of 89.57