22.31 is what percent of 96.62 - 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 96.62 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 96.62, so we can write it down as 100%=96.62.
4. We know, that x% equals 22.31 of the output value, so we can write it down as x%=22.31.
5. Now we have two simple equations:
1) 100%=96.62
2) x%=22.31
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%=96.62/22.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.31 is what percent of 96.62

100%/x%=96.62/22.31
(100/x)*x=(96.62/22.31)*x       - we multiply both sides of the equation by x
100=4.3307933662035*x       - we divide both sides of the equation by (4.3307933662035) to get x
100/4.3307933662035=x
23.090457462223=x
x=23.090457462223

now we have:
22.31 is 23.090457462223% of 96.62