3.49 is what percent of 37.78 - 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 37.78 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 37.78, so we can write it down as 100%=37.78.
4. We know, that x% equals 3.49 of the output value, so we can write it down as x%=3.49.
5. Now we have two simple equations:
1) 100%=37.78
2) x%=3.49
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%=37.78/3.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.49 is what percent of 37.78

100%/x%=37.78/3.49
(100/x)*x=(37.78/3.49)*x       - we multiply both sides of the equation by x
100=10.825214899713*x       - we divide both sides of the equation by (10.825214899713) to get x
100/10.825214899713=x
9.2376919004764=x
x=9.2376919004764

now we have:
3.49 is 9.2376919004764% of 37.78