What is 11.111111111111 percent of 900 - 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 900 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 900 is 100%, so we can write it down as 900=100%.
4. We know, that x is 11.111111111111% of the output value, so we can write it down as x=11.111111111111%.
5. Now we have two simple equations:
1) 900=100%
2) x=11.111111111111%
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:
900/x=100%/11.111111111111%
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 11.111111111111% of 900

900/x=100/11.111111111111
(900/x)*x=(100/11.111111111111)*x       - we multiply both sides of the equation by x
900=9.0000000000001*x       - we divide both sides of the equation by (9.0000000000001) to get x
900/9.0000000000001=x
99.999999999999=x
x=99.999999999999

now we have:
11.111111111111% of 900=99.999999999999