3.44 is what percent of 14.22 - 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 14.22 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 14.22, so we can write it down as 100%=14.22.
4. We know, that x% equals 3.44 of the output value, so we can write it down as x%=3.44.
5. Now we have two simple equations:
1) 100%=14.22
2) x%=3.44
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%=14.22/3.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.44 is what percent of 14.22

100%/x%=14.22/3.44
(100/x)*x=(14.22/3.44)*x       - we multiply both sides of the equation by x
100=4.1337209302326*x       - we divide both sides of the equation by (4.1337209302326) to get x
100/4.1337209302326=x
24.191279887482=x
x=24.191279887482

now we have:
3.44 is 24.191279887482% of 14.22