Step by step solution because that calculating 24 is 40 percent of what number

We already have our very first value 24 and also the second value 40. Let"s assume the unknown value is Y which answer we will find out.

You are watching: 24 is 40 percent of what number

As we have all the forced values us need, now we deserve to put lock in a basic mathematical formula as below:

STEP 124 = 40% × Y

STEP 224 = 40/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation by 40 we will certainly arrive at:

STEP 3Y = 24 × 100/40

STEP 4Y = 24 × 100 ÷ 40

STEP 5Y = 60

Finally, us have found the value of Y i m sorry is 60 and also that is our answer.

You can quickly calculate 24 is 40 percent that what number through using any type of regular calculator, simply go into 24 × 100 ÷ 40 and you will gain your answer i m sorry is 60


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Sample questions, answers, and also how to

Question: your friend has a bag the marbles, and also he speak you that 40 percent that the marbles space red. If there room 24 red marbles. How numerous marbles go he have altogether?

Answer: 60 marbles.

How To: In this problem, we understand that the Percent is 40, and also we are likewise told that the part of the marbles is red, for this reason we know that the part is 24.

So, that way that it must be the total that"s missing. Right here is the means to number out what the complete is:

Part/Total = Percent/100

By using a straightforward algebra we have the right to re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

If us take the "Part" and multiply it by 100, and also then we division that by the "Percent", we will obtain the "Total".

Let"s shot it out on ours problem about the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 24.

So step one is to just multiply that part by 100.

24 × 100 = 2400

In step two, we take the 2400 and also divide it by the "Percent", i m sorry we are told is 40.

So, 2400 divided by 40 = 60

And that way that the total number of marbles is 60.

Question: A high institution marching band has 24 flute players, If 40 percent that the tape members beat the flute, then how countless members are in the band?

Answer: There space 60 members in the band.

How To: The smaller "Part" in this difficulty is 24 due to the fact that there are 24 flute players and also we space told the they consist of 40 percent of the band, so the "Percent" is 40.

Again, it"s the "Total" that"s absent here, and to uncover it, we simply need to follow our 2 step procedure together the vault problem.

For action one, we multiply the "Part" by 100.

24 × 100 = 2400

For action two, we divide that 2400 by the "Percent", which is 40.

See more: Your Visual Lead Time On The Highway Should Be About 15 Seconds

2400 divided by 40 equates to 60

That method that the total number of band members is 60.

Another step by step method

Step 1: Let"s i think the unknown worth is Y

Step 2: first writing it as: 100% / Y = 40% / 24

Step 3: fall the portion marks to simplify your calculations: 100 / Y = 40 / 24

Step 4: main point both political parties by Y to move Y top top the best side that the equation: 100 = ( 40 / 24 ) Y

Step 5: simple the right side, we get: 100 = 40 Y

Step 6: dividing both political parties of the equation by 40, we will certainly arrive at 60 = Y

This pipeline us through our final answer: 24 is 40 percent that 60


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