82.77 is what percent of 46.5 - 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 46.5 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 46.5, so we can write it down as 100%=46.5.
4. We know, that x% equals 82.77 of the output value, so we can write it down as x%=82.77.
5. Now we have two simple equations:
1) 100%=46.5
2) x%=82.77
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%=46.5/82.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.77 is what percent of 46.5

100%/x%=46.5/82.77
(100/x)*x=(46.5/82.77)*x       - we multiply both sides of the equation by x
100=0.56179775280899*x       - we divide both sides of the equation by (0.56179775280899) to get x
100/0.56179775280899=x
178=x
x=178

now we have:
82.77 is 178% of 46.5