What is 2.05 percent of 102.05 - 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 102.05 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 102.05 is 100%, so we can write it down as 102.05=100%.
4. We know, that x is 2.05% of the output value, so we can write it down as x=2.05%.
5. Now we have two simple equations:
1) 102.05=100%
2) x=2.05%
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:
102.05/x=100%/2.05%
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 2.05% of 102.05

102.05/x=100/2.05
(102.05/x)*x=(100/2.05)*x       - we multiply both sides of the equation by x
102.05=48.780487804878*x       - we divide both sides of the equation by (48.780487804878) to get x
102.05/48.780487804878=x
2.092025=x
x=2.092025

now we have:
2.05% of 102.05=2.092025