14.78 is what percent of 109.4 - 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 109.4 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 109.4, so we can write it down as 100%=109.4.
4. We know, that x% equals 14.78 of the output value, so we can write it down as x%=14.78.
5. Now we have two simple equations:
1) 100%=109.4
2) x%=14.78
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%=109.4/14.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.78 is what percent of 109.4

100%/x%=109.4/14.78
(100/x)*x=(109.4/14.78)*x       - we multiply both sides of the equation by x
100=7.4018944519621*x       - we divide both sides of the equation by (7.4018944519621) to get x
100/7.4018944519621=x
13.510054844607=x
x=13.510054844607

now we have:
14.78 is 13.510054844607% of 109.4