67 is what percent of 14.9 - 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 14.9 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 14.9, so we can write it down as 100%=14.9.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=14.9
2) x%=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%=14.9/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 14.9

100%/x%=14.9/67
(100/x)*x=(14.9/67)*x       - we multiply both sides of the equation by x
100=0.22238805970149*x       - we divide both sides of the equation by (0.22238805970149) to get x
100/0.22238805970149=x
449.6644295302=x
x=449.6644295302

now we have:
67 is 449.6644295302% of 14.9