6.05 is what percent of 12.99 - 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 12.99 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 12.99, so we can write it down as 100%=12.99.
4. We know, that x% equals 6.05 of the output value, so we can write it down as x%=6.05.
5. Now we have two simple equations:
1) 100%=12.99
2) x%=6.05
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%=12.99/6.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.05 is what percent of 12.99

100%/x%=12.99/6.05
(100/x)*x=(12.99/6.05)*x       - we multiply both sides of the equation by x
100=2.1471074380165*x       - we divide both sides of the equation by (2.1471074380165) to get x
100/2.1471074380165=x
46.57428791378=x
x=46.57428791378

now we have:
6.05 is 46.57428791378% of 12.99