511.1 is what percent of 3020.1 - 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 3020.1 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 3020.1, so we can write it down as 100%=3020.1.
4. We know, that x% equals 511.1 of the output value, so we can write it down as x%=511.1.
5. Now we have two simple equations:
1) 100%=3020.1
2) x%=511.1
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%=3020.1/511.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.1 is what percent of 3020.1

100%/x%=3020.1/511.1
(100/x)*x=(3020.1/511.1)*x       - we multiply both sides of the equation by x
100=5.9090197612992*x       - we divide both sides of the equation by (5.9090197612992) to get x
100/5.9090197612992=x
16.92328068607=x
x=16.92328068607

now we have:
511.1 is 16.92328068607% of 3020.1