0.1 is what percent of 999.9 - 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 999.9 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 999.9, so we can write it down as 100%=999.9.
4. We know, that x% equals 0.1 of the output value, so we can write it down as x%=0.1.
5. Now we have two simple equations:
1) 100%=999.9
2) x%=0.1
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%=999.9/0.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.1 is what percent of 999.9

100%/x%=999.9/0.1
(100/x)*x=(999.9/0.1)*x       - we multiply both sides of the equation by x
100=9999*x       - we divide both sides of the equation by (9999) to get x
100/9999=x
0.01000100010001=x
x=0.01000100010001

now we have:
0.1 is 0.01000100010001% of 999.9