6.6 is what percent of 3.0045 - 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 3.0045 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 3.0045, so we can write it down as 100%=3.0045.
4. We know, that x% equals 6.6 of the output value, so we can write it down as x%=6.6.
5. Now we have two simple equations:
1) 100%=3.0045
2) x%=6.6
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%=3.0045/6.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.6 is what percent of 3.0045

100%/x%=3.0045/6.6
(100/x)*x=(3.0045/6.6)*x       - we multiply both sides of the equation by x
100=0.45522727272727*x       - we divide both sides of the equation by (0.45522727272727) to get x
100/0.45522727272727=x
219.67049425861=x
x=219.67049425861

now we have:
6.6 is 219.67049425861% of 3.0045