252.2 is what percent of 330 - 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 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, so we can write it down as 100%=330.
4. We know, that x% equals 252.2 of the output value, so we can write it down as x%=252.2.
5. Now we have two simple equations:
1) 100%=330
2) x%=252.2
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%=330/252.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 252.2 is what percent of 330

100%/x%=330/252.2
(100/x)*x=(330/252.2)*x       - we multiply both sides of the equation by x
100=1.3084853291039*x       - we divide both sides of the equation by (1.3084853291039) to get x
100/1.3084853291039=x
76.424242424242=x
x=76.424242424242

now we have:
252.2 is 76.424242424242% of 330