69.44 is what percent of 830.8 - 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 830.8 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 830.8, so we can write it down as 100%=830.8.
4. We know, that x% equals 69.44 of the output value, so we can write it down as x%=69.44.
5. Now we have two simple equations:
1) 100%=830.8
2) x%=69.44
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%=830.8/69.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.44 is what percent of 830.8

100%/x%=830.8/69.44
(100/x)*x=(830.8/69.44)*x       - we multiply both sides of the equation by x
100=11.964285714286*x       - we divide both sides of the equation by (11.964285714286) to get x
100/11.964285714286=x
8.3582089552239=x
x=8.3582089552239

now we have:
69.44 is 8.3582089552239% of 830.8