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We are asked to identify the percent amount and base in this problem.

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They ask us 150 is 25% of what number?

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So another way to think about it is 25% times some number, so I will do 25% in yellow.

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And 25% times some number is equal to 150.

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So the percent is pretty easy to spot. We have a 25% right over here.

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So, this is going to be the percent. That is the percent.

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And we are multiplying the percent times some base number. So this right over here is the base

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and we have percent times the base is equal to some amount.

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And you can try to solve this in your head.

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This is essentially saying 25% times some number is equal to 150.

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If it helps, we can rewrite this as 0.25 (which is the same thing as 25%)

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0.25 times some number is equal to 150.

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And one interesting thing to think about is "should this number be larger or smaller than 150"?

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Well, if we only take 25% of that number, if we only take 25/100 of that number

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If we only take 1/4th of that number, because that's what 25% is, we get 150. So this number needs to be larger than 150.

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If fact, it has to be larger than 150 by 4.

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And to actually figure out what this number is

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we can actually multiply, since what is on the left hand side is equal to what is on the right

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hand side. If we want to solve this, we can multiply both sides by 4.

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If we say, look, we have some value over here and we're going to multiply

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it by 4 in order for it to still be equal we would have to multiply 150

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times 4.

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4 times 0.25 (or 4 times 25% or times 1/4th), this is just going to be 1.

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And we are going to get our number is equal to 150 times 4.

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Or equal to 600.

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And that makes sense. 25% of 600 is 150.

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1/4th of 600 is 150.