84.42 is what percent of 368.75 - 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 368.75 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 368.75, so we can write it down as 100%=368.75.
4. We know, that x% equals 84.42 of the output value, so we can write it down as x%=84.42.
5. Now we have two simple equations:
1) 100%=368.75
2) x%=84.42
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%=368.75/84.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.42 is what percent of 368.75

100%/x%=368.75/84.42
(100/x)*x=(368.75/84.42)*x       - we multiply both sides of the equation by x
100=4.3680407486378*x       - we divide both sides of the equation by (4.3680407486378) to get x
100/4.3680407486378=x
22.893559322034=x
x=22.893559322034

now we have:
84.42 is 22.893559322034% of 368.75