15.4 is what percent of 426.4 - 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 426.4 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 426.4, so we can write it down as 100%=426.4.
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%=426.4
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%=426.4/15.4
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 426.4

100%/x%=426.4/15.4
(100/x)*x=(426.4/15.4)*x       - we multiply both sides of the equation by x
100=27.688311688312*x       - we divide both sides of the equation by (27.688311688312) to get x
100/27.688311688312=x
3.6116322701689=x
x=3.6116322701689

now we have:
15.4 is 3.6116322701689% of 426.4