271.24 is what percent of 3468.55 - 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 3468.55 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 3468.55, so we can write it down as 100%=3468.55.
4. We know, that x% equals 271.24 of the output value, so we can write it down as x%=271.24.
5. Now we have two simple equations:
1) 100%=3468.55
2) x%=271.24
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%=3468.55/271.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.24 is what percent of 3468.55

100%/x%=3468.55/271.24
(100/x)*x=(3468.55/271.24)*x       - we multiply both sides of the equation by x
100=12.787752543873*x       - we divide both sides of the equation by (12.787752543873) to get x
100/12.787752543873=x
7.8199824134004=x
x=7.8199824134004

now we have:
271.24 is 7.8199824134004% of 3468.55