107.7 is what percent of 324.9 - 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 324.9 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 324.9, so we can write it down as 100%=324.9.
4. We know, that x% equals 107.7 of the output value, so we can write it down as x%=107.7.
5. Now we have two simple equations:
1) 100%=324.9
2) x%=107.7
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%=324.9/107.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.7 is what percent of 324.9

100%/x%=324.9/107.7
(100/x)*x=(324.9/107.7)*x       - we multiply both sides of the equation by x
100=3.016713091922*x       - we divide both sides of the equation by (3.016713091922) to get x
100/3.016713091922=x
33.1486611265=x
x=33.1486611265

now we have:
107.7 is 33.1486611265% of 324.9