30.92 is what percent of 46.32 - 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 46.32 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 46.32, so we can write it down as 100%=46.32.
4. We know, that x% equals 30.92 of the output value, so we can write it down as x%=30.92.
5. Now we have two simple equations:
1) 100%=46.32
2) x%=30.92
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%=46.32/30.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.92 is what percent of 46.32

100%/x%=46.32/30.92
(100/x)*x=(46.32/30.92)*x       - we multiply both sides of the equation by x
100=1.4980595084088*x       - we divide both sides of the equation by (1.4980595084088) to get x
100/1.4980595084088=x
66.753022452504=x
x=66.753022452504

now we have:
30.92 is 66.753022452504% of 46.32