296.81 is what percent of 329.79 - 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 329.79 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 329.79, so we can write it down as 100%=329.79.
4. We know, that x% equals 296.81 of the output value, so we can write it down as x%=296.81.
5. Now we have two simple equations:
1) 100%=329.79
2) x%=296.81
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%=329.79/296.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 296.81 is what percent of 329.79

100%/x%=329.79/296.81
(100/x)*x=(329.79/296.81)*x       - we multiply both sides of the equation by x
100=1.1111148546208*x       - we divide both sides of the equation by (1.1111148546208) to get x
100/1.1111148546208=x
89.999696776737=x
x=89.999696776737

now we have:
296.81 is 89.999696776737% of 329.79