## Step by step solution for calculating 72 is 90 percent the what number

We already have our very first value **72** and also the 2nd value **90**. Let"s i think the unknown worth is **Y** which answer we will uncover out.

You are watching: 72 is 90 of what number

As we have actually all the required values we need, currently we have the right to put castle in a an easy mathematical formula as below:

STEP 172 = 90% × Y

STEP 272 = 90/100× Y

Multiplying both sides by 100 and dividing both political parties of the equation through 90 we will arrive at:

STEP 3Y = 72 × 100/90

STEP 4Y = 72 × 100 ÷ 90

STEP 5Y = 80

Finally, us have uncovered the worth of Y i beg your pardon is 80 and also that is our answer.

You can easily calculate **72 is 90 percent that what number** by using any regular calculator, simply get in **72 × 100 ÷ 90** and also you will gain your answer i beg your pardon is **80**

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## Sample questions, answers, and how to

**Question:** her friend has a bag the marbles, and he speak you the 90 percent the the marbles room red. If there space 72 red marbles. How countless marbles does he have altogether?

**Answer:** 80 marbles.

**How To:** In this problem, we know that the Percent is 90, and also we are likewise told that the part of the marbles is red, for this reason we understand that the component is 72.

So, that method that it have to be the complete that"s missing. Right here is the means to figure out what the full is:

Part/Total = Percent/100

By using a an easy algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it out on ours problem around the marbles, that"s very simple and it"s just two steps! We know that the "Part" (red marbles) is 72.

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

72 × 100 = 7200

In action two, we take that 7200 and also divide the by the "Percent", which we room told is 90.

So, 7200 divided by 90 = 80

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

**Question:** A high college marching band has 72 flute players, If 90 percent that the tape members pat the flute, climate how numerous members space in the band?

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

**How To:** The smaller "Part" in this difficulty is 72 since there room 72 flute players and we are told that they consist of 90 percent that the band, therefore the "Percent" is 90.

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

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

72 × 100 = 7200

For step two, we divide that 7200 by the "Percent", which is 90.

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7200 divided by 90 equals 80

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

## Another step by action method

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

**Step 2:** very first writing the as: **100% / Y = 90% / 72**

**Step 3:** drop the percentage marks to simplify your calculations: **100 / Y = 90 / 72**

**Step 4:** main point both sides by Y to move Y ~ above the appropriate side the the equation: **100 = ( 90 / 72 ) Y**

**Step 5:** simple the appropriate side, we get: **100 = 90 Y**

**Step 6:** dividing both sides of the equation by 90, we will arrive at **80 = Y**

This leaves us v our final answer: **72 is 90 percent the 80**

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