38.42 is what percent of 69.14 - 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 69.14 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 69.14, so we can write it down as 100%=69.14.
4. We know, that x% equals 38.42 of the output value, so we can write it down as x%=38.42.
5. Now we have two simple equations:
1) 100%=69.14
2) x%=38.42
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%=69.14/38.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.42 is what percent of 69.14

100%/x%=69.14/38.42
(100/x)*x=(69.14/38.42)*x       - we multiply both sides of the equation by x
100=1.7995835502343*x       - we divide both sides of the equation by (1.7995835502343) to get x
100/1.7995835502343=x
55.568411917848=x
x=55.568411917848

now we have:
38.42 is 55.568411917848% of 69.14