0.67 is what percent of 14.44 - 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 14.44 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 14.44, so we can write it down as 100%=14.44.
4. We know, that x% equals 0.67 of the output value, so we can write it down as x%=0.67.
5. Now we have two simple equations:
1) 100%=14.44
2) x%=0.67
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%=14.44/0.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.67 is what percent of 14.44

100%/x%=14.44/0.67
(100/x)*x=(14.44/0.67)*x       - we multiply both sides of the equation by x
100=21.55223880597*x       - we divide both sides of the equation by (21.55223880597) to get x
100/21.55223880597=x
4.6398891966759=x
x=4.6398891966759

now we have:
0.67 is 4.6398891966759% of 14.44