3.71 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 3.71 of the output value, so we can write it down as x%=3.71.
5. Now we have two simple equations:
1) 100%=55
2) x%=3.71
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%=55/3.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.71 is what percent of 55

100%/x%=55/3.71
(100/x)*x=(55/3.71)*x       - we multiply both sides of the equation by x
100=14.824797843666*x       - we divide both sides of the equation by (14.824797843666) to get x
100/14.824797843666=x
6.7454545454545=x
x=6.7454545454545

now we have:
3.71 is 6.7454545454545% of 55