92.72 is what percent of 333.52 - 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 333.52 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 333.52, so we can write it down as 100%=333.52.
4. We know, that x% equals 92.72 of the output value, so we can write it down as x%=92.72.
5. Now we have two simple equations:
1) 100%=333.52
2) x%=92.72
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%=333.52/92.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.72 is what percent of 333.52

100%/x%=333.52/92.72
(100/x)*x=(333.52/92.72)*x       - we multiply both sides of the equation by x
100=3.5970664365833*x       - we divide both sides of the equation by (3.5970664365833) to get x
100/3.5970664365833=x
27.800431758215=x
x=27.800431758215

now we have:
92.72 is 27.800431758215% of 333.52