979.85 is what percent of 832.84 - 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 832.84 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 832.84, so we can write it down as 100%=832.84.
4. We know, that x% equals 979.85 of the output value, so we can write it down as x%=979.85.
5. Now we have two simple equations:
1) 100%=832.84
2) x%=979.85
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%=832.84/979.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 979.85 is what percent of 832.84

100%/x%=832.84/979.85
(100/x)*x=(832.84/979.85)*x       - we multiply both sides of the equation by x
100=0.84996683165791*x       - we divide both sides of the equation by (0.84996683165791) to get x
100/0.84996683165791=x
117.65164977667=x
x=117.65164977667

now we have:
979.85 is 117.65164977667% of 832.84