30.51 is what percent of 332.6 - 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 332.6 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 332.6, so we can write it down as 100%=332.6.
4. We know, that x% equals 30.51 of the output value, so we can write it down as x%=30.51.
5. Now we have two simple equations:
1) 100%=332.6
2) x%=30.51
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%=332.6/30.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.51 is what percent of 332.6

100%/x%=332.6/30.51
(100/x)*x=(332.6/30.51)*x       - we multiply both sides of the equation by x
100=10.901343821698*x       - we divide both sides of the equation by (10.901343821698) to get x
100/10.901343821698=x
9.173180998196=x
x=9.173180998196

now we have:
30.51 is 9.173180998196% of 332.6