2.33 is what percent of 169.16 - 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 169.16 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 169.16, so we can write it down as 100%=169.16.
4. We know, that x% equals 2.33 of the output value, so we can write it down as x%=2.33.
5. Now we have two simple equations:
1) 100%=169.16
2) x%=2.33
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%=169.16/2.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.33 is what percent of 169.16

100%/x%=169.16/2.33
(100/x)*x=(169.16/2.33)*x       - we multiply both sides of the equation by x
100=72.600858369099*x       - we divide both sides of the equation by (72.600858369099) to get x
100/72.600858369099=x
1.377394183022=x
x=1.377394183022

now we have:
2.33 is 1.377394183022% of 169.16