What is 83.36 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 69.5 is 100%, so we can write it down as 69.5=100%.
4. We know, that x is 83.36% of the output value, so we can write it down as x=83.36%.
5. Now we have two simple equations:
1) 69.5=100%
2) x=83.36%
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:
69.5/x=100%/83.36%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 83.36% of 69.5

69.5/x=100/83.36
(69.5/x)*x=(100/83.36)*x       - we multiply both sides of the equation by x
69.5=1.1996161228407*x       - we divide both sides of the equation by (1.1996161228407) to get x
69.5/1.1996161228407=x
57.9352=x
x=57.9352

now we have:
83.36% of 69.5=57.9352