3.5 is what percent of 10.78 - 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 10.78 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 10.78, so we can write it down as 100%=10.78.
4. We know, that x% equals 3.5 of the output value, so we can write it down as x%=3.5.
5. Now we have two simple equations:
1) 100%=10.78
2) x%=3.5
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%=10.78/3.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.5 is what percent of 10.78

100%/x%=10.78/3.5
(100/x)*x=(10.78/3.5)*x       - we multiply both sides of the equation by x
100=3.08*x       - we divide both sides of the equation by (3.08) to get x
100/3.08=x
32.467532467532=x
x=32.467532467532

now we have:
3.5 is 32.467532467532% of 10.78