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

We currently have our an initial value **75** and the 2nd value **20**. Let"s i think the unknown worth is **Y** i beg your pardon answer us will find out.

You are watching: 75 is 20 percent of what number

As we have actually all the compelled values we need, now we have the right to put them in a an easy mathematical formula as below:

STEP 175 = 20% × Y

STEP 275 = 20/100× Y

Multiplying both sides 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, we have discovered the value of Y i m sorry is 375 and also that is ours answer.

You can quickly calculate **75 is 20 percent that what number** through using any kind of regular calculator, simply enter **75 × 100 ÷ 20** and also you will acquire your answer i m sorry is **375**

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## Sample questions, answers, and also how to

**Question:** her friend has a bag of marbles, and he tells you that 20 percent that the marbles space red. If there space 75 red marbles. How countless marbles does he have altogether?

**Answer:** 375 marbles.

**How To:** In this problem, we know that the Percent is 20, and we are additionally told the the component of the marbles is red, so we understand that the part is 75.

So, that means that it must be the full that"s missing. Below is the way to figure out what the total is:

Part/Total = Percent/100

By utilizing a basic algebra we deserve to re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very straightforward and it"s simply 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 step two, we take that 7500 and divide the by the "Percent", i m sorry we are told is 20.

So, 7500 divided by 20 = 375

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

**Question:** A high college marching band has actually 75 flute players, If 20 percent of the tape members beat the flute, climate how plenty of members are in the band?

**Answer:** There space 375 members in the band.

**How To:** The smaller sized "Part" in this problem is 75 since there are 75 flute players and also we room told that they make up 20 percent of the band, therefore the "Percent" is 20.

Again, it"s the "Total" that"s absent here, and also to uncover it, we simply need to follow our 2 action procedure as the ahead problem.

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

75 × 100 = 7500

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

See more: Kansas City To Wichita Distance Between Wichita And Kansas City, Mo

7500 separated by 20 equates to 375

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

## Another action by step method

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

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

**Step 3:** autumn the percentage marks to simplify your calculations: **100 / Y = 20 / 75**

**Step 4:** multiply both sides by Y to move Y ~ above the ideal side that the equation: **100 = ( 20 / 75 ) Y**

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

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

This leaves us v our last answer: **75 is 20 percent that 375**

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