77.84 is what percent of 69.5 - 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 69.5 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 69.5, so we can write it down as 100%=69.5.
4. We know, that x% equals 77.84 of the output value, so we can write it down as x%=77.84.
5. Now we have two simple equations:
1) 100%=69.5
2) x%=77.84
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%=69.5/77.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.84 is what percent of 69.5

100%/x%=69.5/77.84
(100/x)*x=(69.5/77.84)*x       - we multiply both sides of the equation by x
100=0.89285714285714*x       - we divide both sides of the equation by (0.89285714285714) to get x
100/0.89285714285714=x
112=x
x=112

now we have:
77.84 is 112% of 69.5