6.87 is what percent of 80.81 - 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 80.81 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 80.81, so we can write it down as 100%=80.81.
4. We know, that x% equals 6.87 of the output value, so we can write it down as x%=6.87.
5. Now we have two simple equations:
1) 100%=80.81
2) x%=6.87
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%=80.81/6.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.87 is what percent of 80.81

100%/x%=80.81/6.87
(100/x)*x=(80.81/6.87)*x       - we multiply both sides of the equation by x
100=11.762736535662*x       - we divide both sides of the equation by (11.762736535662) to get x
100/11.762736535662=x
8.5014230912016=x
x=8.5014230912016

now we have:
6.87 is 8.5014230912016% of 80.81