20.82 is what percent of 212.33 - 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 212.33 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 212.33, so we can write it down as 100%=212.33.
4. We know, that x% equals 20.82 of the output value, so we can write it down as x%=20.82.
5. Now we have two simple equations:
1) 100%=212.33
2) x%=20.82
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%=212.33/20.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.82 is what percent of 212.33

100%/x%=212.33/20.82
(100/x)*x=(212.33/20.82)*x       - we multiply both sides of the equation by x
100=10.198366954851*x       - we divide both sides of the equation by (10.198366954851) to get x
100/10.198366954851=x
9.8054914519851=x
x=9.8054914519851

now we have:
20.82 is 9.8054914519851% of 212.33