209 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 209 of the output value, so we can write it down as x%=209.
5. Now we have two simple equations:
1) 100%=1
2) x%=209
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%=1/209
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209 is what percent of 1

100%/x%=1/209
(100/x)*x=(1/209)*x       - we multiply both sides of the equation by x
100=0.0047846889952153*x       - we divide both sides of the equation by (0.0047846889952153) to get x
100/0.0047846889952153=x
20900=x
x=20900

now we have:
209 is 20900% of 1