What is 995.5 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 995.5% of the output value, so we can write it down as x=995.5%.
5. Now we have two simple equations:
1) 0.98=100%
2) x=995.5%
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%/995.5%
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 995.5% of 0.98

0.98/x=100/995.5
(0.98/x)*x=(100/995.5)*x       - we multiply both sides of the equation by x
0.98=0.10045203415369*x       - we divide both sides of the equation by (0.10045203415369) to get x
0.98/0.10045203415369=x
9.7559=x
x=9.7559

now we have:
995.5% of 0.98=9.7559