3.82 is what percent of 2.3 - 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 2.3 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 2.3, so we can write it down as 100%=2.3.
4. We know, that x% equals 3.82 of the output value, so we can write it down as x%=3.82.
5. Now we have two simple equations:
1) 100%=2.3
2) x%=3.82
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%=2.3/3.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.82 is what percent of 2.3

100%/x%=2.3/3.82
(100/x)*x=(2.3/3.82)*x       - we multiply both sides of the equation by x
100=0.6020942408377*x       - we divide both sides of the equation by (0.6020942408377) to get x
100/0.6020942408377=x
166.08695652174=x
x=166.08695652174

now we have:
3.82 is 166.08695652174% of 2.3