0.21 is what percent of 0.999 - 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 0.999 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 0.999, so we can write it down as 100%=0.999.
4. We know, that x% equals 0.21 of the output value, so we can write it down as x%=0.21.
5. Now we have two simple equations:
1) 100%=0.999
2) x%=0.21
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%=0.999/0.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.21 is what percent of 0.999

100%/x%=0.999/0.21
(100/x)*x=(0.999/0.21)*x       - we multiply both sides of the equation by x
100=4.7571428571429*x       - we divide both sides of the equation by (4.7571428571429) to get x
100/4.7571428571429=x
21.021021021021=x
x=21.021021021021

now we have:
0.21 is 21.021021021021% of 0.999