81 is what percent of 3021 - 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 3021 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 3021, so we can write it down as 100%=3021.
4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.
5. Now we have two simple equations:
1) 100%=3021
2) x%=81
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%=3021/81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81 is what percent of 3021

100%/x%=3021/81
(100/x)*x=(3021/81)*x       - we multiply both sides of the equation by x
100=37.296296296296*x       - we divide both sides of the equation by (37.296296296296) to get x
100/37.296296296296=x
2.6812313803376=x
x=2.6812313803376

now we have:
81 is 2.6812313803376% of 3021