69.5 is what percent of 80.6 - 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 80.6 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 80.6, so we can write it down as 100%=80.6.
4. We know, that x% equals 69.5 of the output value, so we can write it down as x%=69.5.
5. Now we have two simple equations:
1) 100%=80.6
2) x%=69.5
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%=80.6/69.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.5 is what percent of 80.6

100%/x%=80.6/69.5
(100/x)*x=(80.6/69.5)*x       - we multiply both sides of the equation by x
100=1.1597122302158*x       - we divide both sides of the equation by (1.1597122302158) to get x
100/1.1597122302158=x
86.228287841191=x
x=86.228287841191

now we have:
69.5 is 86.228287841191% of 80.6