62 is what percent of 2126 - 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 2126 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 2126, so we can write it down as 100%=2126.
4. We know, that x% equals 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=2126
2) x%=62
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%=2126/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 2126

100%/x%=2126/62
(100/x)*x=(2126/62)*x       - we multiply both sides of the equation by x
100=34.290322580645*x       - we divide both sides of the equation by (34.290322580645) to get x
100/34.290322580645=x
2.9162746942615=x
x=2.9162746942615

now we have:
62 is 2.9162746942615% of 2126

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