What is 1.01 percent of 0.98 - 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 0.98 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 0.98 is 100%, so we can write it down as 0.98=100%.
4. We know, that x is 1.01% of the output value, so we can write it down as x=1.01%.
5. Now we have two simple equations:
1) 0.98=100%
2) x=1.01%
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:
0.98/x=100%/1.01%
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 1.01% of 0.98

0.98/x=100/1.01
(0.98/x)*x=(100/1.01)*x       - we multiply both sides of the equation by x
0.98=99.009900990099*x       - we divide both sides of the equation by (99.009900990099) to get x
0.98/99.009900990099=x
0.009898=x
x=0.009898

now we have:
1.01% of 0.98=0.009898