3.54 is what percent of 9.95 - 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 9.95 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 9.95, so we can write it down as 100%=9.95.
4. We know, that x% equals 3.54 of the output value, so we can write it down as x%=3.54.
5. Now we have two simple equations:
1) 100%=9.95
2) x%=3.54
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%=9.95/3.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.54 is what percent of 9.95

100%/x%=9.95/3.54
(100/x)*x=(9.95/3.54)*x       - we multiply both sides of the equation by x
100=2.8107344632768*x       - we divide both sides of the equation by (2.8107344632768) to get x
100/2.8107344632768=x
35.577889447236=x
x=35.577889447236

now we have:
3.54 is 35.577889447236% of 9.95