0.9 is what percent of 44.87 - 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 44.87 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 44.87, so we can write it down as 100%=44.87.
4. We know, that x% equals 0.9 of the output value, so we can write it down as x%=0.9.
5. Now we have two simple equations:
1) 100%=44.87
2) x%=0.9
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%=44.87/0.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.9 is what percent of 44.87

100%/x%=44.87/0.9
(100/x)*x=(44.87/0.9)*x       - we multiply both sides of the equation by x
100=49.855555555556*x       - we divide both sides of the equation by (49.855555555556) to get x
100/49.855555555556=x
2.005794517495=x
x=2.005794517495

now we have:
0.9 is 2.005794517495% of 44.87