32 is what percent of 3298 - 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 3298 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 3298, so we can write it down as 100%=3298.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=3298
2) x%=32
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%=3298/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 3298

100%/x%=3298/32
(100/x)*x=(3298/32)*x       - we multiply both sides of the equation by x
100=103.0625*x       - we divide both sides of the equation by (103.0625) to get x
100/103.0625=x
0.97028502122498=x
x=0.97028502122498

now we have:
32 is 0.97028502122498% of 3298