8 is what percent of 805 - 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 805 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 805, so we can write it down as 100%=805.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=805
2) x%=8
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%=805/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 805

100%/x%=805/8
(100/x)*x=(805/8)*x       - we multiply both sides of the equation by x
100=100.625*x       - we divide both sides of the equation by (100.625) to get x
100/100.625=x
0.993788819876=x
x=0.993788819876

now we have:
8 is 0.993788819876% of 805