12.06 is what percent of 513.09 - 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 513.09 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 513.09, so we can write it down as 100%=513.09.
4. We know, that x% equals 12.06 of the output value, so we can write it down as x%=12.06.
5. Now we have two simple equations:
1) 100%=513.09
2) x%=12.06
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%=513.09/12.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.06 is what percent of 513.09

100%/x%=513.09/12.06
(100/x)*x=(513.09/12.06)*x       - we multiply both sides of the equation by x
100=42.544776119403*x       - we divide both sides of the equation by (42.544776119403) to get x
100/42.544776119403=x
2.3504648307315=x
x=2.3504648307315

now we have:
12.06 is 2.3504648307315% of 513.09