3.62 is what percent of 15.46 - 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 15.46 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 15.46, so we can write it down as 100%=15.46.
4. We know, that x% equals 3.62 of the output value, so we can write it down as x%=3.62.
5. Now we have two simple equations:
1) 100%=15.46
2) x%=3.62
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%=15.46/3.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.62 is what percent of 15.46

100%/x%=15.46/3.62
(100/x)*x=(15.46/3.62)*x       - we multiply both sides of the equation by x
100=4.2707182320442*x       - we divide both sides of the equation by (4.2707182320442) to get x
100/4.2707182320442=x
23.415265200517=x
x=23.415265200517

now we have:
3.62 is 23.415265200517% of 15.46