## Step by action solution because that calculating 76 is 95 percent that what number

We currently have our an initial value **76** and the 2nd value **95**. Let"s assume the unknown value is **Y** i m sorry answer we will find out.

You are watching: 76 is 95 of what number

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

STEP 176 = 95% × Y

STEP 276 = 95/100× Y

Multiplying both political parties by 100 and dividing both sides of the equation by 95 we will certainly arrive at:

STEP 3Y = 76 × 100/95

STEP 4Y = 76 × 100 ÷ 95

STEP 5Y = 80

Finally, us have found the value of Y i m sorry is 80 and also that is our answer.

You can easily calculate **76 is 95 percent that what number** by using any kind of regular calculator, simply enter **76 × 100 ÷ 95** and also you will acquire your answer which is **80**

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## Sample questions, answers, and also how to

**Question:** her friend has a bag that marbles, and he speak you that 95 percent of the marbles space red. If there are 76 red marbles. How countless marbles walk he have actually altogether?

**Answer:** 80 marbles.

**How To:** In this problem, we know that the Percent is 95, and also we are also told the the component of the marbles is red, therefore we recognize that the part is 76.

So, that method that it have to be the total that"s missing. Below is the means to figure out what the total is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on ours problem around the marbles, that"s very simple and it"s simply two steps! We understand that the "Part" (red marbles) is 76.

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

76 × 100 = 7600

In action two, us take that 7600 and also divide it by the "Percent", i beg your pardon we space told is 95.

So, 7600 separated by 95 = 80

And that method that the total number of marbles is 80.

**Question:** A high institution marching band has 76 flute players, If 95 percent that the tape members beat the flute, then how countless members space in the band?

**Answer:** There are 80 members in the band.

**How To:** The smaller "Part" in this trouble is 76 due to the fact that there space 76 flute players and we are told the they comprise 95 percent that the band, for this reason the "Percent" is 95.

Again, it"s the "Total" that"s absent here, and also to find it, we just need to monitor our 2 action procedure as the previous problem.

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

76 × 100 = 7600

For step two, we division that 7600 by the "Percent", i m sorry is 95.

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7600 divided by 95 equals 80

That way that the total variety of band members is 80.

## Another action by action method

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

**Step 2:** very first writing the as: **100% / Y = 95% / 76**

**Step 3:** autumn the portion marks to simplify your calculations: **100 / Y = 95 / 76**

**Step 4:** main point both political parties by Y to move Y ~ above the best side the the equation: **100 = ( 95 / 76 ) Y**

**Step 5:** simplifying the appropriate side, us get: **100 = 95 Y**

**Step 6:** splitting both sides of the equation through 95, we will arrive in ~ **80 = Y**

This leaves us v our final answer: **76 is 95 percent that 80**

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