69.2 is what percent of 83 - 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 83 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 83, so we can write it down as 100%=83.
4. We know, that x% equals 69.2 of the output value, so we can write it down as x%=69.2.
5. Now we have two simple equations:
1) 100%=83
2) x%=69.2
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%=83/69.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.2 is what percent of 83

100%/x%=83/69.2
(100/x)*x=(83/69.2)*x       - we multiply both sides of the equation by x
100=1.1994219653179*x       - we divide both sides of the equation by (1.1994219653179) to get x
100/1.1994219653179=x
83.373493975904=x
x=83.373493975904

now we have:
69.2 is 83.373493975904% of 83