962.58 is what percent of 3275 - 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 3275 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 3275, so we can write it down as 100%=3275.
4. We know, that x% equals 962.58 of the output value, so we can write it down as x%=962.58.
5. Now we have two simple equations:
1) 100%=3275
2) x%=962.58
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%=3275/962.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 962.58 is what percent of 3275

100%/x%=3275/962.58
(100/x)*x=(3275/962.58)*x       - we multiply both sides of the equation by x
100=3.4023146128114*x       - we divide both sides of the equation by (3.4023146128114) to get x
100/3.4023146128114=x
29.391755725191=x
x=29.391755725191

now we have:
962.58 is 29.391755725191% of 3275