369.32 is what percent of 4021.58 - 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 4021.58 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 4021.58, so we can write it down as 100%=4021.58.
4. We know, that x% equals 369.32 of the output value, so we can write it down as x%=369.32.
5. Now we have two simple equations:
1) 100%=4021.58
2) x%=369.32
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%=4021.58/369.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.32 is what percent of 4021.58

100%/x%=4021.58/369.32
(100/x)*x=(4021.58/369.32)*x       - we multiply both sides of the equation by x
100=10.889147622658*x       - we divide both sides of the equation by (10.889147622658) to get x
100/10.889147622658=x
9.1834552588784=x
x=9.1834552588784

now we have:
369.32 is 9.1834552588784% of 4021.58