What is 1.042 percent of 1.1 - 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 1.1 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 1.1 is 100%, so we can write it down as 1.1=100%.
4. We know, that x is 1.042% of the output value, so we can write it down as x=1.042%.
5. Now we have two simple equations:
1) 1.1=100%
2) x=1.042%
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:
1.1/x=100%/1.042%
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 1.042% of 1.1

1.1/x=100/1.042
(1.1/x)*x=(100/1.042)*x       - we multiply both sides of the equation by x
1.1=95.969289827255*x       - we divide both sides of the equation by (95.969289827255) to get x
1.1/95.969289827255=x
0.011462=x
x=0.011462

now we have:
1.042% of 1.1=0.011462