82 is what percent of 178.97 - 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 178.97 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 178.97, so we can write it down as 100%=178.97.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=178.97
2) x%=82
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%=178.97/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 178.97

100%/x%=178.97/82
(100/x)*x=(178.97/82)*x       - we multiply both sides of the equation by x
100=2.1825609756098*x       - we divide both sides of the equation by (2.1825609756098) to get x
100/2.1825609756098=x
45.817734815891=x
x=45.817734815891

now we have:
82 is 45.817734815891% of 178.97