997.5 is what percent of 3245 - 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 3245 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 3245, so we can write it down as 100%=3245.
4. We know, that x% equals 997.5 of the output value, so we can write it down as x%=997.5.
5. Now we have two simple equations:
1) 100%=3245
2) x%=997.5
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%=3245/997.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 997.5 is what percent of 3245

100%/x%=3245/997.5
(100/x)*x=(3245/997.5)*x       - we multiply both sides of the equation by x
100=3.2531328320802*x       - we divide both sides of the equation by (3.2531328320802) to get x
100/3.2531328320802=x
30.739599383667=x
x=30.739599383667

now we have:
997.5 is 30.739599383667% of 3245