161.2 is what percent of 162.2 - 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 162.2 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 162.2, so we can write it down as 100%=162.2.
4. We know, that x% equals 161.2 of the output value, so we can write it down as x%=161.2.
5. Now we have two simple equations:
1) 100%=162.2
2) x%=161.2
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%=162.2/161.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.2 is what percent of 162.2

100%/x%=162.2/161.2
(100/x)*x=(162.2/161.2)*x       - we multiply both sides of the equation by x
100=1.0062034739454*x       - we divide both sides of the equation by (1.0062034739454) to get x
100/1.0062034739454=x
99.383477188656=x
x=99.383477188656

now we have:
161.2 is 99.383477188656% of 162.2