2.89 is what percent of 0.14 - 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 0.14 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 0.14, so we can write it down as 100%=0.14.
4. We know, that x% equals 2.89 of the output value, so we can write it down as x%=2.89.
5. Now we have two simple equations:
1) 100%=0.14
2) x%=2.89
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%=0.14/2.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.89 is what percent of 0.14

100%/x%=0.14/2.89
(100/x)*x=(0.14/2.89)*x       - we multiply both sides of the equation by x
100=0.048442906574394*x       - we divide both sides of the equation by (0.048442906574394) to get x
100/0.048442906574394=x
2064.2857142857=x
x=2064.2857142857

now we have:
2.89 is 2064.2857142857% of 0.14