5.43 is what percent of 38.46 - 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 38.46 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 38.46, so we can write it down as 100%=38.46.
4. We know, that x% equals 5.43 of the output value, so we can write it down as x%=5.43.
5. Now we have two simple equations:
1) 100%=38.46
2) x%=5.43
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%=38.46/5.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.43 is what percent of 38.46

100%/x%=38.46/5.43
(100/x)*x=(38.46/5.43)*x       - we multiply both sides of the equation by x
100=7.0828729281768*x       - we divide both sides of the equation by (7.0828729281768) to get x
100/7.0828729281768=x
14.11856474259=x
x=14.11856474259

now we have:
5.43 is 14.11856474259% of 38.46