1 is what percent of 2164 - 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 2164 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 2164, so we can write it down as 100%=2164.
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%=2164
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%=2164/1
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 2164

100%/x%=2164/1
(100/x)*x=(2164/1)*x       - we multiply both sides of the equation by x
100=2164*x       - we divide both sides of the equation by (2164) to get x
100/2164=x
0.046210720887246=x
x=0.046210720887246

now we have:
1 is 0.046210720887246% of 2164

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