48.35 is what percent of 178.2 - 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 178.2 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 178.2, so we can write it down as 100%=178.2.
4. We know, that x% equals 48.35 of the output value, so we can write it down as x%=48.35.
5. Now we have two simple equations:
1) 100%=178.2
2) x%=48.35
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%=178.2/48.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.35 is what percent of 178.2

100%/x%=178.2/48.35
(100/x)*x=(178.2/48.35)*x       - we multiply both sides of the equation by x
100=3.6856256463289*x       - we divide both sides of the equation by (3.6856256463289) to get x
100/3.6856256463289=x
27.132435465769=x
x=27.132435465769

now we have:
48.35 is 27.132435465769% of 178.2