398.67 is what percent of 1101.19 - 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 1101.19 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 1101.19, so we can write it down as 100%=1101.19.
4. We know, that x% equals 398.67 of the output value, so we can write it down as x%=398.67.
5. Now we have two simple equations:
1) 100%=1101.19
2) x%=398.67
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%=1101.19/398.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.67 is what percent of 1101.19

100%/x%=1101.19/398.67
(100/x)*x=(1101.19/398.67)*x       - we multiply both sides of the equation by x
100=2.7621591792711*x       - we divide both sides of the equation by (2.7621591792711) to get x
100/2.7621591792711=x
36.20356160154=x
x=36.20356160154

now we have:
398.67 is 36.20356160154% of 1101.19