What is 2000 percent of 2.06 - 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 2.06 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 2.06 is 100%, so we can write it down as 2.06=100%.
4. We know, that x is 2000% of the output value, so we can write it down as x=2000%.
5. Now we have two simple equations:
1) 2.06=100%
2) x=2000%
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:
2.06/x=100%/2000%
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 2000% of 2.06

2.06/x=100/2000
(2.06/x)*x=(100/2000)*x       - we multiply both sides of the equation by x
2.06=0.05*x       - we divide both sides of the equation by (0.05) to get x
2.06/0.05=x
41.2=x
x=41.2

now we have:
2000% of 2.06=41.2