26 is what percent of 1112 - 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 1112 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 1112, so we can write it down as 100%=1112.
4. We know, that x% equals 26 of the output value, so we can write it down as x%=26.
5. Now we have two simple equations:
1) 100%=1112
2) x%=26
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%=1112/26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26 is what percent of 1112

100%/x%=1112/26
(100/x)*x=(1112/26)*x       - we multiply both sides of the equation by x
100=42.769230769231*x       - we divide both sides of the equation by (42.769230769231) to get x
100/42.769230769231=x
2.3381294964029=x
x=2.3381294964029

now we have:
26 is 2.3381294964029% of 1112