115.65 is what percent of 330.43 - 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 330.43 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 330.43, so we can write it down as 100%=330.43.
4. We know, that x% equals 115.65 of the output value, so we can write it down as x%=115.65.
5. Now we have two simple equations:
1) 100%=330.43
2) x%=115.65
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%=330.43/115.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.65 is what percent of 330.43

100%/x%=330.43/115.65
(100/x)*x=(330.43/115.65)*x       - we multiply both sides of the equation by x
100=2.8571552096844*x       - we divide both sides of the equation by (2.8571552096844) to get x
100/2.8571552096844=x
34.99984868202=x
x=34.99984868202

now we have:
115.65 is 34.99984868202% of 330.43