0.14 is what percent of 0.83 - 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 0.83 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 0.83, so we can write it down as 100%=0.83.
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%=0.83
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%=0.83/0.14
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 0.83

100%/x%=0.83/0.14
(100/x)*x=(0.83/0.14)*x       - we multiply both sides of the equation by x
100=5.9285714285714*x       - we divide both sides of the equation by (5.9285714285714) to get x
100/5.9285714285714=x
16.867469879518=x
x=16.867469879518

now we have:
0.14 is 16.867469879518% of 0.83