972.83 is what percent of 3250 - 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 3250 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 3250, so we can write it down as 100%=3250.
4. We know, that x% equals 972.83 of the output value, so we can write it down as x%=972.83.
5. Now we have two simple equations:
1) 100%=3250
2) x%=972.83
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%=3250/972.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 972.83 is what percent of 3250

100%/x%=3250/972.83
(100/x)*x=(3250/972.83)*x       - we multiply both sides of the equation by x
100=3.3407686851762*x       - we divide both sides of the equation by (3.3407686851762) to get x
100/3.3407686851762=x
29.933230769231=x
x=29.933230769231

now we have:
972.83 is 29.933230769231% of 3250