What is 16.63 percent of 37.42 - 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 37.42 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 37.42 is 100%, so we can write it down as 37.42=100%.
4. We know, that x is 16.63% of the output value, so we can write it down as x=16.63%.
5. Now we have two simple equations:
1) 37.42=100%
2) x=16.63%
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:
37.42/x=100%/16.63%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 16.63% of 37.42

37.42/x=100/16.63
(37.42/x)*x=(100/16.63)*x       - we multiply both sides of the equation by x
37.42=6.0132291040289*x       - we divide both sides of the equation by (6.0132291040289) to get x
37.42/6.0132291040289=x
6.222946=x
x=6.222946

now we have:
16.63% of 37.42=6.222946