1.38 is what percent of 4.62 - 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 4.62 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 4.62, so we can write it down as 100%=4.62.
4. We know, that x% equals 1.38 of the output value, so we can write it down as x%=1.38.
5. Now we have two simple equations:
1) 100%=4.62
2) x%=1.38
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%=4.62/1.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.38 is what percent of 4.62

100%/x%=4.62/1.38
(100/x)*x=(4.62/1.38)*x       - we multiply both sides of the equation by x
100=3.3478260869565*x       - we divide both sides of the equation by (3.3478260869565) to get x
100/3.3478260869565=x
29.87012987013=x
x=29.87012987013

now we have:
1.38 is 29.87012987013% of 4.62