3.38 is what percent of 7.35 - 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 7.35 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 7.35, so we can write it down as 100%=7.35.
4. We know, that x% equals 3.38 of the output value, so we can write it down as x%=3.38.
5. Now we have two simple equations:
1) 100%=7.35
2) x%=3.38
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%=7.35/3.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.38 is what percent of 7.35

100%/x%=7.35/3.38
(100/x)*x=(7.35/3.38)*x       - we multiply both sides of the equation by x
100=2.1745562130178*x       - we divide both sides of the equation by (2.1745562130178) to get x
100/2.1745562130178=x
45.986394557823=x
x=45.986394557823

now we have:
3.38 is 45.986394557823% of 7.35