11.8 is what percent of 26 - 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 26 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 26, so we can write it down as 100%=26.
4. We know, that x% equals 11.8 of the output value, so we can write it down as x%=11.8.
5. Now we have two simple equations:
1) 100%=26
2) x%=11.8
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%=26/11.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.8 is what percent of 26

100%/x%=26/11.8
(100/x)*x=(26/11.8)*x       - we multiply both sides of the equation by x
100=2.2033898305085*x       - we divide both sides of the equation by (2.2033898305085) to get x
100/2.2033898305085=x
45.384615384615=x
x=45.384615384615

now we have:
11.8 is 45.384615384615% of 26