What is 102.09 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 1 is 100%, so we can write it down as 1=100%.
4. We know, that x is 102.09% of the output value, so we can write it down as x=102.09%.
5. Now we have two simple equations:
1) 1=100%
2) x=102.09%
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:
1/x=100%/102.09%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 102.09% of 1

1/x=100/102.09
(1/x)*x=(100/102.09)*x       - we multiply both sides of the equation by x
1=0.97952786756783*x       - we divide both sides of the equation by (0.97952786756783) to get x
1/0.97952786756783=x
1.0209=x
x=1.0209

now we have:
102.09% of 1=1.0209