352.2 is what percent of 330.2 - 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 330.2 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 330.2, so we can write it down as 100%=330.2.
4. We know, that x% equals 352.2 of the output value, so we can write it down as x%=352.2.
5. Now we have two simple equations:
1) 100%=330.2
2) x%=352.2
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%=330.2/352.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 352.2 is what percent of 330.2

100%/x%=330.2/352.2
(100/x)*x=(330.2/352.2)*x       - we multiply both sides of the equation by x
100=0.93753549119818*x       - we divide both sides of the equation by (0.93753549119818) to get x
100/0.93753549119818=x
106.66262870987=x
x=106.66262870987

now we have:
352.2 is 106.66262870987% of 330.2