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

We currently have our first value 20 and also the second value 40. Let"s assume the unknown worth is Y which answer us will find out.

You are watching: 40 is 20 of what number

As we have actually all the forced values us need, currently we deserve to put them in a an easy mathematical formula together below:

STEP 120 = 40% × Y

STEP 220 = 40/100× Y

Multiplying both political parties by 100 and 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 discovered the value of Y i m sorry is 50 and also that is our answer.

You can quickly calculate 20 is 40 percent that what number by using any kind of regular calculator, simply get in 20 × 100 ÷ 40 and you will obtain your answer i beg your pardon is 50


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Sample questions, answers, and also how to

Question: her friend has a bag that marbles, and he speak you that 40 percent that the marbles space red. If there room 20 red marbles. How many marbles does he have altogether?

Answer: 50 marbles.

How To: In this problem, we know that the Percent is 40, and we are also told the the component of the marbles is red, so we understand that the part is 20.

So, that means that it need to be the full that"s missing. Below is the method to number out what the complete is:

Part/Total = Percent/100

By using a basic algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it out on ours problem around the marbles, that"s very an easy and it"s just two steps! We recognize that the "Part" (red marbles) is 20.

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

20 × 100 = 2000

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

So, 2000 divided by 40 = 50

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

Question: A high school marching band has actually 20 flute players, If 40 percent that the band members beat the flute, climate how numerous members room in the band?

Answer: There space 50 members in the band.

How To: The smaller "Part" in this difficulty is 20 due to the fact that there space 20 flute players and we are told that they make up 40 percent of the band, so the "Percent" is 40.

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

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

20 × 100 = 2000

For step two, we division that 2000 by the "Percent", i m sorry is 40.

See more: What Weight Bowling Ball Do Most Pros Use ? Top 5 Pick For 2021

2000 split by 40 equates to 50

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

Another step by action method

Step 1: Let"s assume the unknown value is Y

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

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

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

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

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

This pipeline us v our last answer: 20 is 40 percent the 50


20 is 40 percent that 50
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