44 is what percent of 163 - 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 163 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 163, so we can write it down as 100%=163.
4. We know, that x% equals 44 of the output value, so we can write it down as x%=44.
5. Now we have two simple equations:
1) 100%=163
2) x%=44
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%=163/44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44 is what percent of 163

100%/x%=163/44
(100/x)*x=(163/44)*x       - we multiply both sides of the equation by x
100=3.7045454545455*x       - we divide both sides of the equation by (3.7045454545455) to get x
100/3.7045454545455=x
26.993865030675=x
x=26.993865030675

now we have:
44 is 26.993865030675% of 163

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