15.46 is what percent of 354.54 - 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 354.54 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 354.54, so we can write it down as 100%=354.54.
4. We know, that x% equals 15.46 of the output value, so we can write it down as x%=15.46.
5. Now we have two simple equations:
1) 100%=354.54
2) x%=15.46
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%=354.54/15.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.46 is what percent of 354.54

100%/x%=354.54/15.46
(100/x)*x=(354.54/15.46)*x       - we multiply both sides of the equation by x
100=22.932729624838*x       - we divide both sides of the equation by (22.932729624838) to get x
100/22.932729624838=x
4.3605799063575=x
x=4.3605799063575

now we have:
15.46 is 4.3605799063575% of 354.54