What is 9.96 percent of 0.6 - 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 0.6 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 0.6 is 100%, so we can write it down as 0.6=100%.
4. We know, that x is 9.96% of the output value, so we can write it down as x=9.96%.
5. Now we have two simple equations:
1) 0.6=100%
2) x=9.96%
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:
0.6/x=100%/9.96%
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 9.96% of 0.6

0.6/x=100/9.96
(0.6/x)*x=(100/9.96)*x       - we multiply both sides of the equation by x
0.6=10.04016064257*x       - we divide both sides of the equation by (10.04016064257) to get x
0.6/10.04016064257=x
0.05976=x
x=0.05976

now we have:
9.96% of 0.6=0.05976