69.99 is what percent of 82.92 - 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 82.92 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 82.92, so we can write it down as 100%=82.92.
4. We know, that x% equals 69.99 of the output value, so we can write it down as x%=69.99.
5. Now we have two simple equations:
1) 100%=82.92
2) x%=69.99
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%=82.92/69.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.99 is what percent of 82.92

100%/x%=82.92/69.99
(100/x)*x=(82.92/69.99)*x       - we multiply both sides of the equation by x
100=1.1847406772396*x       - we divide both sides of the equation by (1.1847406772396) to get x
100/1.1847406772396=x
84.406657018813=x
x=84.406657018813

now we have:
69.99 is 84.406657018813% of 82.92