47.97 is what percent of 176.33 - 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 176.33 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 176.33, so we can write it down as 100%=176.33.
4. We know, that x% equals 47.97 of the output value, so we can write it down as x%=47.97.
5. Now we have two simple equations:
1) 100%=176.33
2) x%=47.97
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%=176.33/47.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.97 is what percent of 176.33

100%/x%=176.33/47.97
(100/x)*x=(176.33/47.97)*x       - we multiply both sides of the equation by x
100=3.675839066083*x       - we divide both sides of the equation by (3.675839066083) to get x
100/3.675839066083=x
27.204673056201=x
x=27.204673056201

now we have:
47.97 is 27.204673056201% of 176.33