63 is what percent of 2769 - 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 2769 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 2769, so we can write it down as 100%=2769.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=2769
2) x%=63
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%=2769/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 2769

100%/x%=2769/63
(100/x)*x=(2769/63)*x       - we multiply both sides of the equation by x
100=43.952380952381*x       - we divide both sides of the equation by (43.952380952381) to get x
100/43.952380952381=x
2.2751895991333=x
x=2.2751895991333

now we have:
63 is 2.2751895991333% of 2769

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