79.5 is what percent of 829.5 - 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 829.5 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 100% equals 829.5, so we can write it down as 100%=829.5.
4. We know, that x% equals 79.5 of the output value, so we can write it down as x%=79.5.
5. Now we have two simple equations:
1) 100%=829.5
2) x%=79.5
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%=829.5/79.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.5 is what percent of 829.5

100%/x%=829.5/79.5
(100/x)*x=(829.5/79.5)*x       - we multiply both sides of the equation by x
100=10.433962264151*x       - we divide both sides of the equation by (10.433962264151) to get x
100/10.433962264151=x
9.5840867992767=x
x=9.5840867992767

now we have:
79.5 is 9.5840867992767% of 829.5