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To find
such that
of
equals
, you can set up the equation:
From this, you can solve for
by dividing both sides by
:
It’s always handy to know how percentages affect numbers in real life! For instance, percentages are commonly used in finance—when calculating interest rates, discounts, or profit margins. Whenever you’re in a store and see a sign saying “20% off,” you’re experiencing the magic of percentages at work!
A common mistake when dealing with percentages is to forget to convert the percentage into decimal form. For example, turning
into a decimal means moving the decimal point two places to the left, giving you
. Every time you’re working with percentages, make sure you’ve got that conversion right before proceeding!