162.32 is what percent of 233.75 - 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 233.75 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 233.75, so we can write it down as 100%=233.75.
4. We know, that x% equals 162.32 of the output value, so we can write it down as x%=162.32.
5. Now we have two simple equations:
1) 100%=233.75
2) x%=162.32
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%=233.75/162.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.32 is what percent of 233.75

100%/x%=233.75/162.32
(100/x)*x=(233.75/162.32)*x       - we multiply both sides of the equation by x
100=1.4400566781666*x       - we divide both sides of the equation by (1.4400566781666) to get x
100/1.4400566781666=x
69.441711229947=x
x=69.441711229947

now we have:
162.32 is 69.441711229947% of 233.75