0.14 is what percent of 1.23 - 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 1.23 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 1.23, so we can write it down as 100%=1.23.
4. We know, that x% equals 0.14 of the output value, so we can write it down as x%=0.14.
5. Now we have two simple equations:
1) 100%=1.23
2) x%=0.14
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%=1.23/0.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.14 is what percent of 1.23

100%/x%=1.23/0.14
(100/x)*x=(1.23/0.14)*x       - we multiply both sides of the equation by x
100=8.7857142857143*x       - we divide both sides of the equation by (8.7857142857143) to get x
100/8.7857142857143=x
11.382113821138=x
x=11.382113821138

now we have:
0.14 is 11.382113821138% of 1.23