1.41 is what percent of 11.97 - 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 11.97 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 11.97, so we can write it down as 100%=11.97.
4. We know, that x% equals 1.41 of the output value, so we can write it down as x%=1.41.
5. Now we have two simple equations:
1) 100%=11.97
2) x%=1.41
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%=11.97/1.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.41 is what percent of 11.97

100%/x%=11.97/1.41
(100/x)*x=(11.97/1.41)*x       - we multiply both sides of the equation by x
100=8.4893617021277*x       - we divide both sides of the equation by (8.4893617021277) to get x
100/8.4893617021277=x
11.779448621554=x
x=11.779448621554

now we have:
1.41 is 11.779448621554% of 11.97