26.11 is what percent of 261.05 - 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 261.05 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 261.05, so we can write it down as 100%=261.05.
4. We know, that x% equals 26.11 of the output value, so we can write it down as x%=26.11.
5. Now we have two simple equations:
1) 100%=261.05
2) x%=26.11
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%=261.05/26.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.11 is what percent of 261.05

100%/x%=261.05/26.11
(100/x)*x=(261.05/26.11)*x       - we multiply both sides of the equation by x
100=9.9980850248947*x       - we divide both sides of the equation by (9.9980850248947) to get x
100/9.9980850248947=x
10.001915341889=x
x=10.001915341889

now we have:
26.11 is 10.001915341889% of 261.05