How much of something (A) is actually something (B%). Get the picture? Let’s go deeper. Imagine a grid composed of 100 even boxes. Imagine a large number of these grids shaded in while others are left as they are. Math lingo now says that the ‘ratio’ of the number of shaded boxes to the total number available can be displayed in the form of a ‘fraction’. 100 percent means parts per hundred, after all.
If 96 boxes are shaded: then the ratio is 96 to 100 which in fraction form is 96 / 100.
If only 9 boxes are shaded: then the ratio is 9 to 100 which in fraction form is 9 / 100.
If 77 boxes are shaded: then the ratio is 77 to 100 which in fraction form is 77 / 100.
Now, instead of sounding like a droid out of Star Wars (!) by saying the above, you simply use the Math lingo ‘percentage’. 96%, 9% and 77% are how the above three examples are respectively rendered.
FRACTIONS INTO PERCENTS
Simply put, keep the number ‘100’ at the forefront of your thoughts. In a fraction, you may know that the number on top is called the numerator and the one below, the denominator. 100 is always in the denominator position because that’s how percentages are displayed. If this is the case, it’ll be pretty easy to perform the conversion. If the denominator is another number, convert it to 100 and proceed as planned.
How does all this conversion go? Well, you multiply, of course. Take the denominator first and multiply it with the correct number that gets you 100 (this is only if it isn’t already 100). Use that same number to multiply the numerator and you’re good to go. Check it out…
The denominator isn’t 100, so you multiplied with a number that got you 100 and did the same for the feller above. The answer is nothing but 50%, 90% and 80% respectively.
PERCENTS INTO FRACTIONS
It’s the opposite here, but just as simple. Remove the ‘%’ and divide that number by 100. Next, check out the numerator and denominator to see which one number goes into both by multiplying. Then you divide them both by that same number, get an answer and that’s your fraction. Check it out…
For 55% and 41% respectively:
which becomes which concludes as
PERCENTS INTO DECIMALS
This is one of the easiest conversions. Keep the number ‘100’ in mind. Now, take the given number and start at an imaginary point after it. Next, go backwards two positions (because there are two zeroes in ‘100’) and see where that imagined point comes to rest. That’s where the decimal goes and you have your answer.
18% becomes .18
You started after 18 and moved the imagined point back two positions.
Similarly, 7% = .07; 55% = .55 and so on.
DECIMALS INTO PERCENTS
Again, we have a vice versa thing facing us. Instead of moving the point provided in the number backward, like last time, you move it forward 2 positions instead (again, because there are two zeroes in ‘100’).
.93 becomes 93% and similarly, .67 = 67%; .08 = 8% and .41 is 41%
That’s all there is to the basics of percentages.