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One trick which will typically assist you quickly calculate these styles of %ages is to use the very fact that x % of y is that the same as y percent of x. Huh? i do know that may sound quite confusing, however it’s truly pretty easy. Taking our example from before, this rule says that three hundred and sixty five days of twenty five is that the same as twenty fifth of thirty six. however will that facilitate us? Well, since twenty fifth is that the same because the fraction 1/4, we tend to see that twenty fifth of thirty six should be 36/4 or nine. therefore twenty fifth of thirty six is capable nine, and three hundred and sixty five days of twenty five should even be nine.
The beauty of this trick is that each time you’ve resolved one downside, you’ve truly resolved two! And that’s particularly helpful once one among the issues is far easier to unravel than the other—as was the case here.
It’s useful to require a moment to examine why this ostensibly charming trick works. As i discussed before, three hundred and sixty five days is cherish the fraction 36/100. Since we will write the fraction 1/100 because the decimal variety zero.01, we tend to see that the fraction 36/100 may be written zero.01 x 36. meaning that three hundred and sixty five days of twenty five should be capable (0.01 x 36) x twenty five. currently here comes the cool part: The associative property of multiplication tells US that we will multiply many numbers in any order we’d like. which suggests that (0.01 x 36) x twenty five = (0.01 x 25) x thirty six. But 0.01 x twenty five is that the same factor as twenty fifth, which suggests that this can be capable twenty fifth of thirty six. therefore three hundred and sixty five days of twenty five is capable twenty fifth of thirty six. It ain’t magic, it’s math! Pretty cool, right?