What is 2000 percent of 0.102 - 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 0.102 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 0.102 is 100%, so we can write it down as 0.102=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) 0.102=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:
0.102/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 0.102

0.102/x=100/2000
(0.102/x)*x=(100/2000)*x       - we multiply both sides of the equation by x
0.102=0.05*x       - we divide both sides of the equation by (0.05) to get x
0.102/0.05=x
2.04=x
x=2.04

now we have:
2000% of 0.102=2.04