3.65 is what percent of 46.14 - 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 46.14 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 46.14, so we can write it down as 100%=46.14.
4. We know, that x% equals 3.65 of the output value, so we can write it down as x%=3.65.
5. Now we have two simple equations:
1) 100%=46.14
2) x%=3.65
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%=46.14/3.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.65 is what percent of 46.14

100%/x%=46.14/3.65
(100/x)*x=(46.14/3.65)*x       - we multiply both sides of the equation by x
100=12.641095890411*x       - we divide both sides of the equation by (12.641095890411) to get x
100/12.641095890411=x
7.9107065452969=x
x=7.9107065452969

now we have:
3.65 is 7.9107065452969% of 46.14