211.5 is what percent of 602.75 - 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 602.75 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 602.75, so we can write it down as 100%=602.75.
4. We know, that x% equals 211.5 of the output value, so we can write it down as x%=211.5.
5. Now we have two simple equations:
1) 100%=602.75
2) x%=211.5
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%=602.75/211.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.5 is what percent of 602.75

100%/x%=602.75/211.5
(100/x)*x=(602.75/211.5)*x       - we multiply both sides of the equation by x
100=2.8498817966903*x       - we divide both sides of the equation by (2.8498817966903) to get x
100/2.8498817966903=x
35.089174616342=x
x=35.089174616342

now we have:
211.5 is 35.089174616342% of 602.75