166.4 is what percent of 167.2 - 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 167.2 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 167.2, so we can write it down as 100%=167.2.
4. We know, that x% equals 166.4 of the output value, so we can write it down as x%=166.4.
5. Now we have two simple equations:
1) 100%=167.2
2) x%=166.4
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%=167.2/166.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.4 is what percent of 167.2

100%/x%=167.2/166.4
(100/x)*x=(167.2/166.4)*x       - we multiply both sides of the equation by x
100=1.0048076923077*x       - we divide both sides of the equation by (1.0048076923077) to get x
100/1.0048076923077=x
99.521531100478=x
x=99.521531100478

now we have:
166.4 is 99.521531100478% of 167.2