42.7 is what percent of 11 - 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 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, so we can write it down as 100%=11.
4. We know, that x% equals 42.7 of the output value, so we can write it down as x%=42.7.
5. Now we have two simple equations:
1) 100%=11
2) x%=42.7
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%=11/42.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.7 is what percent of 11

100%/x%=11/42.7
(100/x)*x=(11/42.7)*x       - we multiply both sides of the equation by x
100=0.2576112412178*x       - we divide both sides of the equation by (0.2576112412178) to get x
100/0.2576112412178=x
388.18181818182=x
x=388.18181818182

now we have:
42.7 is 388.18181818182% of 11