Step by action solution because that calculating 75 is 20 percent that what number

We already have our an initial value 75 and the 2nd value 20. Let"s assume the unknown value is Y i beg your pardon answer we will uncover out.

You are watching: 75 is 20 percent of what number

As we have all the required values we need, now we can put them in a basic mathematical formula together below:

STEP 175 = 20% × Y

STEP 275 = 20/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 20 we will arrive at:

STEP 3Y = 75 × 100/20

STEP 4Y = 75 × 100 ÷ 20

STEP 5Y = 375

Finally, us have discovered the value of Y i m sorry is 375 and that is ours answer.

You can easily calculate 75 is 20 percent that what number by using any type of regular calculator, simply get in 75 × 100 ÷ 20 and you will gain your answer which is 375


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Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and he speak you the 20 percent of the marbles space red. If there room 75 red marbles. How plenty of marbles walk he have altogether?

Answer: 375 marbles.

How To: In this problem, we recognize that the Percent is 20, and we are also told that the part of the marbles is red, therefore we understand that the part is 75.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 75.

So action one is to simply multiply that part by 100.

75 × 100 = 7500

In action two, we take the 7500 and divide it by the "Percent", i m sorry we room told is 20.

So, 7500 divided by 20 = 375

And that method that the total number of marbles is 375.

Question: A high school marching band has 75 flute players, If 20 percent that the band members play the flute, then how countless members are in the band?

Answer: There space 375 members in the band.

How To: The smaller "Part" in this trouble is 75 since there are 75 flute players and we room told the they comprise 20 percent the the band, therefore the "Percent" is 20.

Again, it"s the "Total" that"s lacking here, and also to find it, we just need to follow our 2 action procedure together the vault problem.

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

75 × 100 = 7500

For action two, we division that 7500 by the "Percent", i m sorry is 20.

See more: How Many Minutes Are 90 Seconds Is How Many Minutes ? Convert 90 S To Min

7500 split by 20 amounts to 375

That means that the total variety of band members is 375.

Another action by step method

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

Step 2: an initial writing it as: 100% / Y = 20% / 75

Step 3: autumn the portion marks to leveling your calculations: 100 / Y = 20 / 75

Step 4: multiply both sides by Y to move Y top top the best side that the equation: 100 = ( 20 / 75 ) Y

Step 5: simple the best side, us get: 100 = 20 Y

Step 6: separating both sides of the equation by 20, we will arrive in ~ 375 = Y

This pipeline us through our last answer: 75 is 20 percent of 375


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