318.8 is what percent of 321 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 321 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 321, so we can write it down as 100%=321.
4. We know, that x% equals 318.8 of the output value, so we can write it down as x%=318.8.
5. Now we have two simple equations:
1) 100%=321
2) x%=318.8
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%=321/318.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.8 is what percent of 321

100%/x%=321/318.8
(100/x)*x=(321/318.8)*x       - we multiply both sides of the equation by x
100=1.0069008782936*x       - we divide both sides of the equation by (1.0069008782936) to get x
100/1.0069008782936=x
99.314641744548=x
x=99.314641744548

now we have:
318.8 is 99.314641744548% of 321

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