1009.22 is what percent of 3989 - 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 3989 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 3989, so we can write it down as 100%=3989.
4. We know, that x% equals 1009.22 of the output value, so we can write it down as x%=1009.22.
5. Now we have two simple equations:
1) 100%=3989
2) x%=1009.22
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%=3989/1009.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1009.22 is what percent of 3989

100%/x%=3989/1009.22
(100/x)*x=(3989/1009.22)*x       - we multiply both sides of the equation by x
100=3.9525574205822*x       - we divide both sides of the equation by (3.9525574205822) to get x
100/3.9525574205822=x
25.300075206819=x
x=25.300075206819

now we have:
1009.22 is 25.300075206819% of 3989