What is 11.1111111 percent of 257 - 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 257 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 257 is 100%, so we can write it down as 257=100%.
4. We know, that x is 11.1111111% of the output value, so we can write it down as x=11.1111111%.
5. Now we have two simple equations:
1) 257=100%
2) x=11.1111111%
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:
257/x=100%/11.1111111%
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 11.1111111% of 257

257/x=100/11.1111111
(257/x)*x=(100/11.1111111)*x       - we multiply both sides of the equation by x
257=9.000000009*x       - we divide both sides of the equation by (9.000000009) to get x
257/9.000000009=x
28.555555527=x
x=28.555555527

now we have:
11.1111111% of 257=28.555555527