79.46 is what percent of 829.42 - 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 829.42 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 829.42, so we can write it down as 100%=829.42.
4. We know, that x% equals 79.46 of the output value, so we can write it down as x%=79.46.
5. Now we have two simple equations:
1) 100%=829.42
2) x%=79.46
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%=829.42/79.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.46 is what percent of 829.42

100%/x%=829.42/79.46
(100/x)*x=(829.42/79.46)*x       - we multiply both sides of the equation by x
100=10.438207903348*x       - we divide both sides of the equation by (10.438207903348) to get x
100/10.438207903348=x
9.5801885655036=x
x=9.5801885655036

now we have:
79.46 is 9.5801885655036% of 829.42