1.62 is what percent of 8.08 - 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 8.08 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 8.08, so we can write it down as 100%=8.08.
4. We know, that x% equals 1.62 of the output value, so we can write it down as x%=1.62.
5. Now we have two simple equations:
1) 100%=8.08
2) x%=1.62
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%=8.08/1.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.62 is what percent of 8.08

100%/x%=8.08/1.62
(100/x)*x=(8.08/1.62)*x       - we multiply both sides of the equation by x
100=4.9876543209877*x       - we divide both sides of the equation by (4.9876543209877) to get x
100/4.9876543209877=x
20.049504950495=x
x=20.049504950495

now we have:
1.62 is 20.049504950495% of 8.08