92.39 is what percent of 225.2 - 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 225.2 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 225.2, so we can write it down as 100%=225.2.
4. We know, that x% equals 92.39 of the output value, so we can write it down as x%=92.39.
5. Now we have two simple equations:
1) 100%=225.2
2) x%=92.39
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%=225.2/92.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.39 is what percent of 225.2

100%/x%=225.2/92.39
(100/x)*x=(225.2/92.39)*x       - we multiply both sides of the equation by x
100=2.4374932351986*x       - we divide both sides of the equation by (2.4374932351986) to get x
100/2.4374932351986=x
41.025754884547=x
x=41.025754884547

now we have:
92.39 is 41.025754884547% of 225.2