172.2 is what percent of 177.1 - 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 177.1 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 177.1, so we can write it down as 100%=177.1.
4. We know, that x% equals 172.2 of the output value, so we can write it down as x%=172.2.
5. Now we have two simple equations:
1) 100%=177.1
2) x%=172.2
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%=177.1/172.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.2 is what percent of 177.1

100%/x%=177.1/172.2
(100/x)*x=(177.1/172.2)*x       - we multiply both sides of the equation by x
100=1.0284552845528*x       - we divide both sides of the equation by (1.0284552845528) to get x
100/1.0284552845528=x
97.233201581028=x
x=97.233201581028

now we have:
172.2 is 97.233201581028% of 177.1