14.49 is what percent of 412.94 - 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 412.94 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 412.94, so we can write it down as 100%=412.94.
4. We know, that x% equals 14.49 of the output value, so we can write it down as x%=14.49.
5. Now we have two simple equations:
1) 100%=412.94
2) x%=14.49
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%=412.94/14.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.49 is what percent of 412.94

100%/x%=412.94/14.49
(100/x)*x=(412.94/14.49)*x       - we multiply both sides of the equation by x
100=28.498274672188*x       - we divide both sides of the equation by (28.498274672188) to get x
100/28.498274672188=x
3.5089843560808=x
x=3.5089843560808

now we have:
14.49 is 3.5089843560808% of 412.94