What is 980 percent of 0.05 - 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 0.05 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 0.05 is 100%, so we can write it down as 0.05=100%.
4. We know, that x is 980% of the output value, so we can write it down as x=980%.
5. Now we have two simple equations:
1) 0.05=100%
2) x=980%
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:
0.05/x=100%/980%
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 980% of 0.05

0.05/x=100/980
(0.05/x)*x=(100/980)*x       - we multiply both sides of the equation by x
0.05=0.10204081632653*x       - we divide both sides of the equation by (0.10204081632653) to get x
0.05/0.10204081632653=x
0.49=x
x=0.49

now we have:
980% of 0.05=0.49