177.75 is what percent of 208 - 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 208 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 208, so we can write it down as 100%=208.
4. We know, that x% equals 177.75 of the output value, so we can write it down as x%=177.75.
5. Now we have two simple equations:
1) 100%=208
2) x%=177.75
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%=208/177.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.75 is what percent of 208

100%/x%=208/177.75
(100/x)*x=(208/177.75)*x       - we multiply both sides of the equation by x
100=1.1701828410689*x       - we divide both sides of the equation by (1.1701828410689) to get x
100/1.1701828410689=x
85.456730769231=x
x=85.456730769231

now we have:
177.75 is 85.456730769231% of 208