11.77 is what percent of 21.4 - 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 21.4 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 21.4, so we can write it down as 100%=21.4.
4. We know, that x% equals 11.77 of the output value, so we can write it down as x%=11.77.
5. Now we have two simple equations:
1) 100%=21.4
2) x%=11.77
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%=21.4/11.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.77 is what percent of 21.4

100%/x%=21.4/11.77
(100/x)*x=(21.4/11.77)*x       - we multiply both sides of the equation by x
100=1.8181818181818*x       - we divide both sides of the equation by (1.8181818181818) to get x
100/1.8181818181818=x
55=x
x=55

now we have:
11.77 is 55% of 21.4