Question

4% of what number is 40?

Answer 1

Answer: 1000

Step-by-step explanation: you do 4% multiplied by x = 40

Multiplying both sides by 100 and dividing both sides by 4,

we have x = 40 × 100/4

40×100÷4

And you get 1000

Answer 2

Answer: 1,000

Step-by-step explanation: Well percent means over 100 so we know that 4% means the same thing as 4/100. Of means times, what number means x, is means equals, and 40 means 40.

So we have the equation 4/100 · x = 40.

Notice that 4/100 can be reduced to 1/25.

So rewriting our problem we have x/25 = 40.

To get rid of the fraction, we multiply both sides of the equation by 25 and we have x = 1,000.

Now let's check our answer back in the

original problem to see if it makes sense.

We have 4% of 1,000 is 40.

Well we know that 100% of 1,000 would be 1,000 so 4% of 1,000 should be alot less than 1,000 so 40 seems to make sense.

I have also attached my own work in the image provided.