8.38 is what percent of 21.62 - 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 21.62 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 21.62, so we can write it down as 100%=21.62.
4. We know, that x% equals 8.38 of the output value, so we can write it down as x%=8.38.
5. Now we have two simple equations:
1) 100%=21.62
2) x%=8.38
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%=21.62/8.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.38 is what percent of 21.62

100%/x%=21.62/8.38
(100/x)*x=(21.62/8.38)*x       - we multiply both sides of the equation by x
100=2.5799522673031*x       - we divide both sides of the equation by (2.5799522673031) to get x
100/2.5799522673031=x
38.760407030527=x
x=38.760407030527

now we have:
8.38 is 38.760407030527% of 21.62