1.82 is what percent of 21.5 - 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 21.5 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 21.5, so we can write it down as 100%=21.5.
4. We know, that x% equals 1.82 of the output value, so we can write it down as x%=1.82.
5. Now we have two simple equations:
1) 100%=21.5
2) x%=1.82
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%=21.5/1.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.82 is what percent of 21.5

100%/x%=21.5/1.82
(100/x)*x=(21.5/1.82)*x       - we multiply both sides of the equation by x
100=11.813186813187*x       - we divide both sides of the equation by (11.813186813187) to get x
100/11.813186813187=x
8.4651162790698=x
x=8.4651162790698

now we have:
1.82 is 8.4651162790698% of 21.5