43.12 is what percent of 162.32 - 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 162.32 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 162.32, so we can write it down as 100%=162.32.
4. We know, that x% equals 43.12 of the output value, so we can write it down as x%=43.12.
5. Now we have two simple equations:
1) 100%=162.32
2) x%=43.12
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%=162.32/43.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.12 is what percent of 162.32

100%/x%=162.32/43.12
(100/x)*x=(162.32/43.12)*x       - we multiply both sides of the equation by x
100=3.7643784786642*x       - we divide both sides of the equation by (3.7643784786642) to get x
100/3.7643784786642=x
26.564810251355=x
x=26.564810251355

now we have:
43.12 is 26.564810251355% of 162.32