56.83 is what percent of 80.33 - 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 80.33 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 80.33, so we can write it down as 100%=80.33.
4. We know, that x% equals 56.83 of the output value, so we can write it down as x%=56.83.
5. Now we have two simple equations:
1) 100%=80.33
2) x%=56.83
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%=80.33/56.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.83 is what percent of 80.33

100%/x%=80.33/56.83
(100/x)*x=(80.33/56.83)*x       - we multiply both sides of the equation by x
100=1.4135139890903*x       - we divide both sides of the equation by (1.4135139890903) to get x
100/1.4135139890903=x
70.745674094361=x
x=70.745674094361

now we have:
56.83 is 70.745674094361% of 80.33