Step by action solution for calculating 20 is 40 percent of what number

We already have our first value 20 and the second value 40. Let"s assume the unknown worth is Y i m sorry answer we will discover out.

You are watching: 20 is 40% of what number

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

STEP 120 = 40% × Y

STEP 220 = 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 = 20 × 100/40

STEP 4Y = 20 × 100 ÷ 40

STEP 5Y = 50

Finally, we have uncovered the worth of Y i beg your pardon is 50 and also that is ours answer.

You can easily calculate 20 is 40 percent the what number by using any type of regular calculator, simply get in 20 × 100 ÷ 40 and you will gain your answer i m sorry is 50


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Sample questions, answers, and also how to

Question: your friend has actually a bag the marbles, and he tells you that 40 percent the the marbles room red. If there room 20 red marbles. How plenty of marbles go he have actually altogether?

Answer: 50 marbles.

How To: In this problem, we recognize that the Percent is 40, and we are likewise told that the component of the marbles is red, therefore we recognize that the part is 20.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very straightforward and it"s simply two steps! We know that the "Part" (red marbles) is 20.

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

20 × 100 = 2000

In step two, we take that 2000 and divide the by the "Percent", i beg your pardon we space told is 40.

So, 2000 split by 40 = 50

And that way that the total variety of marbles is 50.

Question: A high institution marching band has 20 flute players, If 40 percent of the tape members pat the flute, then how plenty of members room in the band?

Answer: There are 50 members in the band.

How To: The smaller "Part" in this problem is 20 because there room 20 flute players and also we space told that they make up 40 percent that the band, for this reason the "Percent" is 40.

Again, it"s the "Total" that"s lacking here, and also to discover it, we simply need to monitor our 2 action procedure together the ahead problem.

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

20 × 100 = 2000

For step two, we division that 2000 through the "Percent", i beg your pardon is 40.

See more: What Is A Group Of Elves Called, By That I Mean Noldor, Calaquendi, Etc

2000 split by 40 equates to 50

That method that the total variety of band members is 50.

Another step by step method

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

Step 2: an initial writing it as: 100% / Y = 40% / 20

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 40 / 20

Step 4: main point both political parties by Y to relocate Y on the best side that the equation: 100 = ( 40 / 20 ) Y

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

Step 6: dividing both political parties of the equation through 40, we will arrive at 50 = Y

This leaves us v our last answer: 20 is 40 percent of 50


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