3.76 is what percent of 20.09 - 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 20.09 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 20.09, so we can write it down as 100%=20.09.
4. We know, that x% equals 3.76 of the output value, so we can write it down as x%=3.76.
5. Now we have two simple equations:
1) 100%=20.09
2) x%=3.76
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%=20.09/3.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.76 is what percent of 20.09

100%/x%=20.09/3.76
(100/x)*x=(20.09/3.76)*x       - we multiply both sides of the equation by x
100=5.343085106383*x       - we divide both sides of the equation by (5.343085106383) to get x
100/5.343085106383=x
18.715778994525=x
x=18.715778994525

now we have:
3.76 is 18.715778994525% of 20.09