8 is what percent of 155.6 - 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 155.6 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 155.6, so we can write it down as 100%=155.6.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=155.6
2) x%=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%=155.6/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 155.6

100%/x%=155.6/8
(100/x)*x=(155.6/8)*x       - we multiply both sides of the equation by x
100=19.45*x       - we divide both sides of the equation by (19.45) to get x
100/19.45=x
5.1413881748072=x
x=5.1413881748072

now we have:
8 is 5.1413881748072% of 155.6

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