369.2 is what percent of 419.2 - 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 419.2 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 419.2, so we can write it down as 100%=419.2.
4. We know, that x% equals 369.2 of the output value, so we can write it down as x%=369.2.
5. Now we have two simple equations:
1) 100%=419.2
2) x%=369.2
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%=419.2/369.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.2 is what percent of 419.2

100%/x%=419.2/369.2
(100/x)*x=(419.2/369.2)*x       - we multiply both sides of the equation by x
100=1.1354279523294*x       - we divide both sides of the equation by (1.1354279523294) to get x
100/1.1354279523294=x
88.072519083969=x
x=88.072519083969

now we have:
369.2 is 88.072519083969% of 419.2