14.9 is what percent of 34.2 - 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 34.2 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 34.2, so we can write it down as 100%=34.2.
4. We know, that x% equals 14.9 of the output value, so we can write it down as x%=14.9.
5. Now we have two simple equations:
1) 100%=34.2
2) x%=14.9
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%=34.2/14.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.9 is what percent of 34.2

100%/x%=34.2/14.9
(100/x)*x=(34.2/14.9)*x       - we multiply both sides of the equation by x
100=2.2953020134228*x       - we divide both sides of the equation by (2.2953020134228) to get x
100/2.2953020134228=x
43.567251461988=x
x=43.567251461988

now we have:
14.9 is 43.567251461988% of 34.2