9999999999 is what percent of 1 - 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 1 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 1, so we can write it down as 100%=1.
4. We know, that x% equals 9999999999 of the output value, so we can write it down as x%=9999999999.
5. Now we have two simple equations:
1) 100%=1
2) x%=9999999999
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%=1/9999999999
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9999999999 is what percent of 1

100%/x%=1/9999999999
(100/x)*x=(1/9999999999)*x       - we multiply both sides of the equation by x
100=1.0000000001E-10*x       - we divide both sides of the equation by (1.0000000001E-10) to get x
100/1.0000000001E-10=x
999999999900=x
x=999999999900

now we have:
9999999999 is 999999999900% of 1