Therefore, $345 is 69% of x because the sale price is 69% of the regular price.

And translating this into an equation gives us, 345 = 0.69 * x, is means

equals, percent means divide by 100 and of means times.

Therefore, we can divide both sides now by 0.69, which gives us x is equal to 345

/ 0.69 = 345 / 0.69 is 69 / 100 which is equal to 345 times, and now we flip this

fraction here, and 69 goes into 345, 5 times, so this is equal to 5 * 100 or

500. Therefore, the price yesterday was $500.

Now, rather than doing this out the long way here, we could have, at this point,

used a calculator and we would have gotten to the same answer.

Alright. Let's see another example. [SOUND] At a sale this week, a desk is

being sold for $603. This is a 33% discount from its original

price. What is its original price?

Well, what does this mean, a %33 discount?

A 33% discount means that the desk is being sold for 100% - 33%, or 67% of its

original price. 33% isn't the amount the desk is being

sold for, it's the amount the desk is being discounted out.

So, let's let x equals its original price.

Now, this desk is being sold for $603, which means $603 is 67% of its original

price or x. Again, let's translate this into an

equation. With 603 is means equals 67% means 0.67 or 67 / 100 and of means

times. And now, we'll divide by 0.67, which

gives us the x = 603 / 0.67 which is equal to 603 / 0.67 is 67 / 100, which is

equal to 603 * 100 / 67. And 67 goes into 603, nine times.

Therefore, this is equal to 900, which is our answer.

Therefore, the original price then of the desk was $900.

And this is how we solve percentage world problems.

Thank you and we'll see you next time. [MUSIC]