81 is what percent of 3080 - 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 3080 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 3080, so we can write it down as 100%=3080.
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%=3080
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%=3080/81
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 3080

100%/x%=3080/81
(100/x)*x=(3080/81)*x       - we multiply both sides of the equation by x
100=38.024691358025*x       - we divide both sides of the equation by (38.024691358025) to get x
100/38.024691358025=x
2.6298701298701=x
x=2.6298701298701

now we have:
81 is 2.6298701298701% of 3080