168.2 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 168.2 of the output value, so we can write it down as x%=168.2.
5. Now we have two simple equations:
1) 100%=178.2
2) x%=168.2
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%=178.2/168.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.2 is what percent of 178.2

100%/x%=178.2/168.2
(100/x)*x=(178.2/168.2)*x       - we multiply both sides of the equation by x
100=1.0594530321046*x       - we divide both sides of the equation by (1.0594530321046) to get x
100/1.0594530321046=x
94.388327721661=x
x=94.388327721661

now we have:
168.2 is 94.388327721661% of 178.2