5.41 is what percent of 16.52 - 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 16.52 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 16.52, so we can write it down as 100%=16.52.
4. We know, that x% equals 5.41 of the output value, so we can write it down as x%=5.41.
5. Now we have two simple equations:
1) 100%=16.52
2) x%=5.41
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%=16.52/5.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.41 is what percent of 16.52

100%/x%=16.52/5.41
(100/x)*x=(16.52/5.41)*x       - we multiply both sides of the equation by x
100=3.0536044362292*x       - we divide both sides of the equation by (3.0536044362292) to get x
100/3.0536044362292=x
32.74818401937=x
x=32.74818401937

now we have:
5.41 is 32.74818401937% of 16.52