3.06 is what percent of 4.69 - 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 4.69 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 4.69, so we can write it down as 100%=4.69.
4. We know, that x% equals 3.06 of the output value, so we can write it down as x%=3.06.
5. Now we have two simple equations:
1) 100%=4.69
2) x%=3.06
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%=4.69/3.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.06 is what percent of 4.69

100%/x%=4.69/3.06
(100/x)*x=(4.69/3.06)*x       - we multiply both sides of the equation by x
100=1.5326797385621*x       - we divide both sides of the equation by (1.5326797385621) to get x
100/1.5326797385621=x
65.245202558635=x
x=65.245202558635

now we have:
3.06 is 65.245202558635% of 4.69