43.6 is what percent of 162.1 - 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 162.1 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 162.1, so we can write it down as 100%=162.1.
4. We know, that x% equals 43.6 of the output value, so we can write it down as x%=43.6.
5. Now we have two simple equations:
1) 100%=162.1
2) x%=43.6
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%=162.1/43.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.6 is what percent of 162.1

100%/x%=162.1/43.6
(100/x)*x=(162.1/43.6)*x       - we multiply both sides of the equation by x
100=3.7178899082569*x       - we divide both sides of the equation by (3.7178899082569) to get x
100/3.7178899082569=x
26.896977174584=x
x=26.896977174584

now we have:
43.6 is 26.896977174584% of 162.1