1.46 is what percent of 3.84 - 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 3.84 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 3.84, so we can write it down as 100%=3.84.
4. We know, that x% equals 1.46 of the output value, so we can write it down as x%=1.46.
5. Now we have two simple equations:
1) 100%=3.84
2) x%=1.46
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%=3.84/1.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.46 is what percent of 3.84

100%/x%=3.84/1.46
(100/x)*x=(3.84/1.46)*x       - we multiply both sides of the equation by x
100=2.6301369863014*x       - we divide both sides of the equation by (2.6301369863014) to get x
100/2.6301369863014=x
38.020833333333=x
x=38.020833333333

now we have:
1.46 is 38.020833333333% of 3.84