What is 10.9090909 percent of 275 - 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 275 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 275 is 100%, so we can write it down as 275=100%.
4. We know, that x is 10.9090909% of the output value, so we can write it down as x=10.9090909%.
5. Now we have two simple equations:
1) 275=100%
2) x=10.9090909%
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:
275/x=100%/10.9090909%
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 10.9090909% of 275

275/x=100/10.9090909
(275/x)*x=(100/10.9090909)*x       - we multiply both sides of the equation by x
275=9.1666666743056*x       - we divide both sides of the equation by (9.1666666743056) to get x
275/9.1666666743056=x
29.999999975=x
x=29.999999975

now we have:
10.9090909% of 275=29.999999975