75.75 is what percent of 208.46 - 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 208.46 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 208.46, so we can write it down as 100%=208.46.
4. We know, that x% equals 75.75 of the output value, so we can write it down as x%=75.75.
5. Now we have two simple equations:
1) 100%=208.46
2) x%=75.75
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%=208.46/75.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.75 is what percent of 208.46

100%/x%=208.46/75.75
(100/x)*x=(208.46/75.75)*x       - we multiply both sides of the equation by x
100=2.7519471947195*x       - we divide both sides of the equation by (2.7519471947195) to get x
100/2.7519471947195=x
36.337906552816=x
x=36.337906552816

now we have:
75.75 is 36.337906552816% of 208.46