3.85 is what percent of 69.2 - 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 69.2 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 69.2, so we can write it down as 100%=69.2.
4. We know, that x% equals 3.85 of the output value, so we can write it down as x%=3.85.
5. Now we have two simple equations:
1) 100%=69.2
2) x%=3.85
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%=69.2/3.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.85 is what percent of 69.2

100%/x%=69.2/3.85
(100/x)*x=(69.2/3.85)*x       - we multiply both sides of the equation by x
100=17.974025974026*x       - we divide both sides of the equation by (17.974025974026) to get x
100/17.974025974026=x
5.5635838150289=x
x=5.5635838150289

now we have:
3.85 is 5.5635838150289% of 69.2