26.4 is what percent of 12.09 - 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 12.09 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 12.09, so we can write it down as 100%=12.09.
4. We know, that x% equals 26.4 of the output value, so we can write it down as x%=26.4.
5. Now we have two simple equations:
1) 100%=12.09
2) x%=26.4
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%=12.09/26.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.4 is what percent of 12.09

100%/x%=12.09/26.4
(100/x)*x=(12.09/26.4)*x       - we multiply both sides of the equation by x
100=0.45795454545455*x       - we divide both sides of the equation by (0.45795454545455) to get x
100/0.45795454545455=x
218.36228287841=x
x=218.36228287841

now we have:
26.4 is 218.36228287841% of 12.09