205.4 is what percent of 217.4 - 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 217.4 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 217.4, so we can write it down as 100%=217.4.
4. We know, that x% equals 205.4 of the output value, so we can write it down as x%=205.4.
5. Now we have two simple equations:
1) 100%=217.4
2) x%=205.4
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%=217.4/205.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.4 is what percent of 217.4

100%/x%=217.4/205.4
(100/x)*x=(217.4/205.4)*x       - we multiply both sides of the equation by x
100=1.0584225900682*x       - we divide both sides of the equation by (1.0584225900682) to get x
100/1.0584225900682=x
94.480220791168=x
x=94.480220791168

now we have:
205.4 is 94.480220791168% of 217.4

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