47.6 is what percent of 160 - 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 160 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 160, so we can write it down as 100%=160.
4. We know, that x% equals 47.6 of the output value, so we can write it down as x%=47.6.
5. Now we have two simple equations:
1) 100%=160
2) x%=47.6
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%=160/47.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.6 is what percent of 160

100%/x%=160/47.6
(100/x)*x=(160/47.6)*x       - we multiply both sides of the equation by x
100=3.3613445378151*x       - we divide both sides of the equation by (3.3613445378151) to get x
100/3.3613445378151=x
29.75=x
x=29.75

now we have:
47.6 is 29.75% of 160

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