1065.5 is what percent of 2300 - 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 2300 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 2300, so we can write it down as 100%=2300.
4. We know, that x% equals 1065.5 of the output value, so we can write it down as x%=1065.5.
5. Now we have two simple equations:
1) 100%=2300
2) x%=1065.5
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%=2300/1065.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1065.5 is what percent of 2300

100%/x%=2300/1065.5
(100/x)*x=(2300/1065.5)*x       - we multiply both sides of the equation by x
100=2.1586109807602*x       - we divide both sides of the equation by (2.1586109807602) to get x
100/2.1586109807602=x
46.326086956522=x
x=46.326086956522

now we have:
1065.5 is 46.326086956522% of 2300

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