1 is what percent of 165.75 - 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 165.75 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 165.75, so we can write it down as 100%=165.75.
4. We know, that x% equals 1 of the output value, so we can write it down as x%=1.
5. Now we have two simple equations:
1) 100%=165.75
2) x%=1
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%=165.75/1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1 is what percent of 165.75

100%/x%=165.75/1
(100/x)*x=(165.75/1)*x       - we multiply both sides of the equation by x
100=165.75*x       - we divide both sides of the equation by (165.75) to get x
100/165.75=x
0.60331825037707=x
x=0.60331825037707

now we have:
1 is 0.60331825037707% of 165.75

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