262.28 is what percent of 329.97 - 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 329.97 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 329.97, so we can write it down as 100%=329.97.
4. We know, that x% equals 262.28 of the output value, so we can write it down as x%=262.28.
5. Now we have two simple equations:
1) 100%=329.97
2) x%=262.28
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%=329.97/262.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.28 is what percent of 329.97

100%/x%=329.97/262.28
(100/x)*x=(329.97/262.28)*x       - we multiply both sides of the equation by x
100=1.2580829647705*x       - we divide both sides of the equation by (1.2580829647705) to get x
100/1.2580829647705=x
79.48601388005=x
x=79.48601388005

now we have:
262.28 is 79.48601388005% of 329.97