102.2 is what percent of 178 - 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 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, so we can write it down as 100%=178.
4. We know, that x% equals 102.2 of the output value, so we can write it down as x%=102.2.
5. Now we have two simple equations:
1) 100%=178
2) x%=102.2
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%=178/102.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.2 is what percent of 178

100%/x%=178/102.2
(100/x)*x=(178/102.2)*x       - we multiply both sides of the equation by x
100=1.7416829745597*x       - we divide both sides of the equation by (1.7416829745597) to get x
100/1.7416829745597=x
57.415730337079=x
x=57.415730337079

now we have:
102.2 is 57.415730337079% of 178