1.01 is what 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 100% equals 1, so we can write it down as 100%=1.
4. We know, that x% equals 1.01 of the output value, so we can write it down as x%=1.01.
5. Now we have two simple equations:
1) 100%=1
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:
100%/x%=1/1.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.01 is what percent of 1

100%/x%=1/1.01
(100/x)*x=(1/1.01)*x       - we multiply both sides of the equation by x
100=0.99009900990099*x       - we divide both sides of the equation by (0.99009900990099) to get x
100/0.99009900990099=x
101=x
x=101

now we have:
1.01 is 101% of 1