64.44 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 64.44 of the output value, so we can write it down as x%=64.44.
5. Now we have two simple equations:
1) 100%=100
2) x%=64.44
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%=100/64.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.44 is what percent of 100

100%/x%=100/64.44
(100/x)*x=(100/64.44)*x       - we multiply both sides of the equation by x
100=1.5518311607697*x       - we divide both sides of the equation by (1.5518311607697) to get x
100/1.5518311607697=x
64.44=x
x=64.44

now we have:
64.44 is 64.44% of 100

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