178.17 is what percent of 2173.5 - 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 2173.5 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 2173.5, so we can write it down as 100%=2173.5.
4. We know, that x% equals 178.17 of the output value, so we can write it down as x%=178.17.
5. Now we have two simple equations:
1) 100%=2173.5
2) x%=178.17
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%=2173.5/178.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.17 is what percent of 2173.5

100%/x%=2173.5/178.17
(100/x)*x=(2173.5/178.17)*x       - we multiply both sides of the equation by x
100=12.199023404614*x       - we divide both sides of the equation by (12.199023404614) to get x
100/12.199023404614=x
8.1973775017253=x
x=8.1973775017253

now we have:
178.17 is 8.1973775017253% of 2173.5