3.01 is what percent of 5.41 - 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 5.41 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 5.41, so we can write it down as 100%=5.41.
4. We know, that x% equals 3.01 of the output value, so we can write it down as x%=3.01.
5. Now we have two simple equations:
1) 100%=5.41
2) x%=3.01
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%=5.41/3.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.01 is what percent of 5.41

100%/x%=5.41/3.01
(100/x)*x=(5.41/3.01)*x       - we multiply both sides of the equation by x
100=1.797342192691*x       - we divide both sides of the equation by (1.797342192691) to get x
100/1.797342192691=x
55.637707948244=x
x=55.637707948244

now we have:
3.01 is 55.637707948244% of 5.41