78.49 is what percent of 836.5 - 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 836.5 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 836.5, so we can write it down as 100%=836.5.
4. We know, that x% equals 78.49 of the output value, so we can write it down as x%=78.49.
5. Now we have two simple equations:
1) 100%=836.5
2) x%=78.49
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%=836.5/78.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.49 is what percent of 836.5

100%/x%=836.5/78.49
(100/x)*x=(836.5/78.49)*x       - we multiply both sides of the equation by x
100=10.657408587081*x       - we divide both sides of the equation by (10.657408587081) to get x
100/10.657408587081=x
9.3831440526001=x
x=9.3831440526001

now we have:
78.49 is 9.3831440526001% of 836.5