64 is what percent of 144 - 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 144 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 144, so we can write it down as 100%=144.
4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.
5. Now we have two simple equations:
1) 100%=144
2) x%=64
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%=144/64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 144

100%/x%=144/64
(100/x)*x=(144/64)*x - we multiply both sides of the equation by x
100=2.25*x - we divide both sides of the equation by (2.25) to get x
100/2.25=x
44.=x
x=44.

now we have:
64 is 44.% of 144

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