511.33 is what percent of 3209.68 - 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 3209.68 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 3209.68, so we can write it down as 100%=3209.68.
4. We know, that x% equals 511.33 of the output value, so we can write it down as x%=511.33.
5. Now we have two simple equations:
1) 100%=3209.68
2) x%=511.33
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%=3209.68/511.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.33 is what percent of 3209.68

100%/x%=3209.68/511.33
(100/x)*x=(3209.68/511.33)*x       - we multiply both sides of the equation by x
100=6.2771204505896*x       - we divide both sides of the equation by (6.2771204505896) to get x
100/6.2771204505896=x
15.93087161337=x
x=15.93087161337

now we have:
511.33 is 15.93087161337% of 3209.68