2.41 is what percent of 3.01 - 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 3.01 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 3.01, so we can write it down as 100%=3.01.
4. We know, that x% equals 2.41 of the output value, so we can write it down as x%=2.41.
5. Now we have two simple equations:
1) 100%=3.01
2) x%=2.41
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%=3.01/2.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.41 is what percent of 3.01

100%/x%=3.01/2.41
(100/x)*x=(3.01/2.41)*x       - we multiply both sides of the equation by x
100=1.2489626556017*x       - we divide both sides of the equation by (1.2489626556017) to get x
100/1.2489626556017=x
80.066445182724=x
x=80.066445182724

now we have:
2.41 is 80.066445182724% of 3.01