26.05 is what percent of 11.9 - 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 11.9 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 11.9, so we can write it down as 100%=11.9.
4. We know, that x% equals 26.05 of the output value, so we can write it down as x%=26.05.
5. Now we have two simple equations:
1) 100%=11.9
2) x%=26.05
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%=11.9/26.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.05 is what percent of 11.9

100%/x%=11.9/26.05
(100/x)*x=(11.9/26.05)*x       - we multiply both sides of the equation by x
100=0.45681381957774*x       - we divide both sides of the equation by (0.45681381957774) to get x
100/0.45681381957774=x
218.90756302521=x
x=218.90756302521

now we have:
26.05 is 218.90756302521% of 11.9