0.28845 is what percent of 1 - 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 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, so we can write it down as 100%=1.
4. We know, that x% equals 0.28845 of the output value, so we can write it down as x%=0.28845.
5. Now we have two simple equations:
1) 100%=1
2) x%=0.28845
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%=1/0.28845
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.28845 is what percent of 1

100%/x%=1/0.28845
(100/x)*x=(1/0.28845)*x       - we multiply both sides of the equation by x
100=3.4668053388802*x       - we divide both sides of the equation by (3.4668053388802) to get x
100/3.4668053388802=x
28.845=x
x=28.845

now we have:
0.28845 is 28.845% of 1