What is 9.85 percent of 1 - 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 1 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 1 is 100%, so we can write it down as 1=100%.
4. We know, that x is 9.85% of the output value, so we can write it down as x=9.85%.
5. Now we have two simple equations:
1) 1=100%
2) x=9.85%
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:
1/x=100%/9.85%
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 9.85% of 1

1/x=100/9.85
(1/x)*x=(100/9.85)*x       - we multiply both sides of the equation by x
1=10.152284263959*x       - we divide both sides of the equation by (10.152284263959) to get x
1/10.152284263959=x
0.0985=x
x=0.0985

now we have:
9.85% of 1=0.0985