82 is what percent of 214 - 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 214 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 214, so we can write it down as 100%=214.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=214
2) x%=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%=214/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 214

100%/x%=214/82
(100/x)*x=(214/82)*x       - we multiply both sides of the equation by x
100=2.609756097561*x       - we divide both sides of the equation by (2.609756097561) to get x
100/2.609756097561=x
38.317757009346=x
x=38.317757009346

now we have:
82 is 38.317757009346% of 214