Video: GCSE Mathematics Foundation Tier Pack 2 • Paper 3 • Question 4

GCSE Mathematics Foundation Tier Pack 2 • Paper 3 • Question 4

02:23

Video Transcript

Calculate 346 percent of 250.

Well, the first thing we’re looking at is 346 percent because this looks peculiar because it’s greater than 100. Can we have a percentage that’s greater than 100? And the answer is yes, you can have a percentage that is bigger than 100 percent. What it means is the answer is gonna be bigger than the original amount.

And this is a really good way of checking your answer because if you come to an answer that’s actually smaller than 250, you will know that actually something must have gone wrong.

Okay, but how do we actually calculate 346 percent? Well, if we’re going to find 346 percent of a number, the first thing we do is divide by 100. We divide by 100 because that will give us one percent because as we know if we have 100 percent of something, that’s all of it.

So if you divide that by 100, we’ll have one percent of that amount. And then, what we do is we actually multiply by 346. And that’s because if we’ve got one percent and we want 346 percent, we can then multiply the answer for one percent by 346. And that will give us our 346 percent.

Okay, so that’s the process we’re gonna go through. But let’s actually formalise it now. So therefore, we can say that 346 percent of 250 is gonna be equal to 250 multiplied by 346 over 100 because this is the same as dividing by 100 and multiplying by 346. And when we calculate this, we get a result of 865. So we can say that 346 percent of 250 is 865.

We could have also worked it out by doing 250 multiplied by 3.46. And this is known as the multiplier. And that’s because 346 over 100 is actually 3.46. So if we can actually remember to use those, that actually saves the steps, that saves us making a fraction.

Okay, so we now have got our answer of 865. Let’s double-check that it’s correct. Well, if we check back, we said that once we’ve got to our final answer, we needed to make sure that it was bigger than the original amount. And that’s because our percentage was over 100. Well, 865 is greater than 250. So therefore, we can say that 346 percent of 250 is equal to 865.

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