What is 6.6066066066066 percent of 4.99 - 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 4.99 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 4.99 is 100%, so we can write it down as 4.99=100%.
4. We know, that x is 6.6066066066066% of the output value, so we can write it down as x=6.6066066066066%.
5. Now we have two simple equations:
1) 4.99=100%
2) x=6.6066066066066%
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:
4.99/x=100%/6.6066066066066%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 6.6066066066066% of 4.99

4.99/x=100/6.6066066066066
(4.99/x)*x=(100/6.6066066066066)*x       - we multiply both sides of the equation by x
4.99=15.136363636364*x       - we divide both sides of the equation by (15.136363636364) to get x
4.99/15.136363636364=x
0.32966966966967=x
x=0.32966966966967

now we have:
6.6066066066066% of 4.99=0.32966966966967