0.29 is what percent of 1.39 - 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 1.39 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 1.39, so we can write it down as 100%=1.39.
4. We know, that x% equals 0.29 of the output value, so we can write it down as x%=0.29.
5. Now we have two simple equations:
1) 100%=1.39
2) x%=0.29
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%=1.39/0.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.29 is what percent of 1.39

100%/x%=1.39/0.29
(100/x)*x=(1.39/0.29)*x       - we multiply both sides of the equation by x
100=4.7931034482759*x       - we divide both sides of the equation by (4.7931034482759) to get x
100/4.7931034482759=x
20.863309352518=x
x=20.863309352518

now we have:
0.29 is 20.863309352518% of 1.39