20.8 is what percent of 292.9 - 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 292.9 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 292.9, so we can write it down as 100%=292.9.
4. We know, that x% equals 20.8 of the output value, so we can write it down as x%=20.8.
5. Now we have two simple equations:
1) 100%=292.9
2) x%=20.8
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%=292.9/20.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.8 is what percent of 292.9

100%/x%=292.9/20.8
(100/x)*x=(292.9/20.8)*x       - we multiply both sides of the equation by x
100=14.081730769231*x       - we divide both sides of the equation by (14.081730769231) to get x
100/14.081730769231=x
7.1013997951519=x
x=7.1013997951519

now we have:
20.8 is 7.1013997951519% of 292.9

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