Step by step solution for calculating 2 is 40 percent the what number

We already have our an initial value 2 and also the 2nd value 40. Let"s assume the unknown value is Y i m sorry answer us will discover out.

You are watching: What number is 2 of 40

As we have actually all the required values us need, currently we can put lock in a straightforward mathematical formula as below:

STEP 12 = 40% × Y

STEP 22 = 40/100× Y

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

STEP 3Y = 2 × 100/40

STEP 4Y = 2 × 100 ÷ 40

STEP 5Y = 5

Finally, us have found the value of Y i m sorry is 5 and also that is our answer.

You can quickly calculate 2 is 40 percent the what number through using any regular calculator, simply go into 2 × 100 ÷ 40 and you will gain your answer i m sorry is 5


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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and also he speak you that 40 percent the the marbles space red. If there space 2 red marbles. How many marbles does he have altogether?

Answer: 5 marbles.

How To: In this problem, we recognize that the Percent is 40, and also we are likewise told the the component of the marbles is red, therefore we know that the part is 2.

So, that method that it need to be the complete that"s missing. Right here is the way to figure out what the complete is:

Part/Total = Percent/100

By making use of a basic algebra we can re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very basic and it"s just two steps! We recognize that the "Part" (red marbles) is 2.

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

2 × 100 = 200

In action two, we take that 200 and divide the by the "Percent", which we are told is 40.

So, 200 separated by 40 = 5

And that means that the total number of marbles is 5.

Question: A high school marching band has actually 2 flute players, If 40 percent that the band members pat the flute, climate how many members space in the band?

Answer: There room 5 members in the band.

How To: The smaller "Part" in this difficulty is 2 because there space 2 flute players and also we room told the they comprise 40 percent the the band, so the "Percent" is 40.

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

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

2 × 100 = 200

For step two, we divide that 200 through the "Percent", i beg your pardon is 40.

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200 split by 40 amounts to 5

That means that the total variety of band members is 5.

Another action by action method

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

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

Step 3: drop the percentage marks to simplify your calculations: 100 / Y = 40 / 2

Step 4: multiply both sides by Y to move Y ~ above the right side of the equation: 100 = ( 40 / 2 ) Y

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

Step 6: splitting both sides of the equation by 40, we will certainly arrive in ~ 5 = Y

This pipeline us v our last answer: 2 is 40 percent the 5


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