218.13 is what percent of 283.47 - 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 283.47 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 283.47, so we can write it down as 100%=283.47.
4. We know, that x% equals 218.13 of the output value, so we can write it down as x%=218.13.
5. Now we have two simple equations:
1) 100%=283.47
2) x%=218.13
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%=283.47/218.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.13 is what percent of 283.47

100%/x%=283.47/218.13
(100/x)*x=(283.47/218.13)*x       - we multiply both sides of the equation by x
100=1.2995461422088*x       - we divide both sides of the equation by (1.2995461422088) to get x
100/1.2995461422088=x
76.949941792782=x
x=76.949941792782

now we have:
218.13 is 76.949941792782% of 283.47