What is 1.11111111111 percent of 975 - 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 975 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 975 is 100%, so we can write it down as 975=100%.
4. We know, that x is 1.11111111111% of the output value, so we can write it down as x=1.11111111111%.
5. Now we have two simple equations:
1) 975=100%
2) x=1.11111111111%
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:
975/x=100%/1.11111111111%
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 1.11111111111% of 975

975/x=100/1.11111111111
(975/x)*x=(100/1.11111111111)*x       - we multiply both sides of the equation by x
975=90.00000000009*x       - we divide both sides of the equation by (90.00000000009) to get x
975/90.00000000009=x
10.833333333322=x
x=10.833333333322

now we have:
1.11111111111% of 975=10.833333333322