216.33 is what percent of 160.63 - 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 160.63 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 160.63, so we can write it down as 100%=160.63.
4. We know, that x% equals 216.33 of the output value, so we can write it down as x%=216.33.
5. Now we have two simple equations:
1) 100%=160.63
2) x%=216.33
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%=160.63/216.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.33 is what percent of 160.63

100%/x%=160.63/216.33
(100/x)*x=(160.63/216.33)*x       - we multiply both sides of the equation by x
100=0.74252299727269*x       - we divide both sides of the equation by (0.74252299727269) to get x
100/0.74252299727269=x
134.67596339414=x
x=134.67596339414

now we have:
216.33 is 134.67596339414% of 160.63