217.99 is what percent of 757.18 - 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 757.18 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 757.18, so we can write it down as 100%=757.18.
4. We know, that x% equals 217.99 of the output value, so we can write it down as x%=217.99.
5. Now we have two simple equations:
1) 100%=757.18
2) x%=217.99
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%=757.18/217.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 217.99 is what percent of 757.18

100%/x%=757.18/217.99
(100/x)*x=(757.18/217.99)*x       - we multiply both sides of the equation by x
100=3.4734620854168*x       - we divide both sides of the equation by (3.4734620854168) to get x
100/3.4734620854168=x
28.789719749597=x
x=28.789719749597

now we have:
217.99 is 28.789719749597% of 757.18