13.76 is what percent of 14.42 - 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 14.42 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 14.42, so we can write it down as 100%=14.42.
4. We know, that x% equals 13.76 of the output value, so we can write it down as x%=13.76.
5. Now we have two simple equations:
1) 100%=14.42
2) x%=13.76
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%=14.42/13.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.76 is what percent of 14.42

100%/x%=14.42/13.76
(100/x)*x=(14.42/13.76)*x       - we multiply both sides of the equation by x
100=1.0479651162791*x       - we divide both sides of the equation by (1.0479651162791) to get x
100/1.0479651162791=x
95.423023578363=x
x=95.423023578363

now we have:
13.76 is 95.423023578363% of 14.42