640.5 is what percent of 3397.5 - 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 3397.5 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 3397.5, so we can write it down as 100%=3397.5.
4. We know, that x% equals 640.5 of the output value, so we can write it down as x%=640.5.
5. Now we have two simple equations:
1) 100%=3397.5
2) x%=640.5
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%=3397.5/640.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 640.5 is what percent of 3397.5

100%/x%=3397.5/640.5
(100/x)*x=(3397.5/640.5)*x       - we multiply both sides of the equation by x
100=5.3044496487119*x       - we divide both sides of the equation by (5.3044496487119) to get x
100/5.3044496487119=x
18.852097130243=x
x=18.852097130243

now we have:
640.5 is 18.852097130243% of 3397.5