69.5 is what percent of 77.5 - 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 77.5 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 77.5, so we can write it down as 100%=77.5.
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%=77.5
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%=77.5/69.5
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 77.5

100%/x%=77.5/69.5
(100/x)*x=(77.5/69.5)*x       - we multiply both sides of the equation by x
100=1.1151079136691*x       - we divide both sides of the equation by (1.1151079136691) to get x
100/1.1151079136691=x
89.677419354839=x
x=89.677419354839

now we have:
69.5 is 89.677419354839% of 77.5