483.75 is what percent of 836 - 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 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, so we can write it down as 100%=836.
4. We know, that x% equals 483.75 of the output value, so we can write it down as x%=483.75.
5. Now we have two simple equations:
1) 100%=836
2) x%=483.75
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%=836/483.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.75 is what percent of 836

100%/x%=836/483.75
(100/x)*x=(836/483.75)*x       - we multiply both sides of the equation by x
100=1.728165374677*x       - we divide both sides of the equation by (1.728165374677) to get x
100/1.728165374677=x
57.864832535885=x
x=57.864832535885

now we have:
483.75 is 57.864832535885% of 836