15.4 is what percent of 196.4 - 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 196.4 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 196.4, so we can write it down as 100%=196.4.
4. We know, that x% equals 15.4 of the output value, so we can write it down as x%=15.4.
5. Now we have two simple equations:
1) 100%=196.4
2) x%=15.4
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%=196.4/15.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.4 is what percent of 196.4

100%/x%=196.4/15.4
(100/x)*x=(196.4/15.4)*x       - we multiply both sides of the equation by x
100=12.753246753247*x       - we divide both sides of the equation by (12.753246753247) to get x
100/12.753246753247=x
7.8411405295316=x
x=7.8411405295316

now we have:
15.4 is 7.8411405295316% of 196.4