What is 6.11 percent of 9.99 - 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 9.99 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 9.99 is 100%, so we can write it down as 9.99=100%.
4. We know, that x is 6.11% of the output value, so we can write it down as x=6.11%.
5. Now we have two simple equations:
1) 9.99=100%
2) x=6.11%
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:
9.99/x=100%/6.11%
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 6.11% of 9.99

9.99/x=100/6.11
(9.99/x)*x=(100/6.11)*x       - we multiply both sides of the equation by x
9.99=16.366612111293*x       - we divide both sides of the equation by (16.366612111293) to get x
9.99/16.366612111293=x
0.610389=x
x=0.610389

now we have:
6.11% of 9.99=0.610389