1.06 is what percent of 38.21 - 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 38.21 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 38.21, so we can write it down as 100%=38.21.
4. We know, that x% equals 1.06 of the output value, so we can write it down as x%=1.06.
5. Now we have two simple equations:
1) 100%=38.21
2) x%=1.06
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%=38.21/1.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.06 is what percent of 38.21

100%/x%=38.21/1.06
(100/x)*x=(38.21/1.06)*x       - we multiply both sides of the equation by x
100=36.047169811321*x       - we divide both sides of the equation by (36.047169811321) to get x
100/36.047169811321=x
2.7741428945302=x
x=2.7741428945302

now we have:
1.06 is 2.7741428945302% of 38.21