## Step by action solution for calculating 20 is 80 percent of what number

We already have actually our initially worth **20** and the second worth **80**. Let"s assume the unwell-known value is **Y** which answer we will certainly discover out.

You are watching: 20 is 80 percent of what number

As we have all the forced values we need, Now we deserve to put them in an easy mathematical formula as below:

STEP 120 = 80% × Y

STEP 220 = 80/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 80 we will arrive at:

STEP 3Y = 20 × 100/80

STEP 4Y = 20 × 100 ÷ 80

STEP 5Y = 25

Finally, we have found the worth of Y which is 25 and that is our answer.

You deserve to conveniently calculate **20 is 80 percent of what number** by utilizing any kind of continuous calculator, simply enter **20 × 100 ÷ 80** and also you will certainly gain your answer which is **25**

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## Sample questions, answers, and how to

**Question:** Your friend has a bag of marbles, and he tells you that 80 percent of the marbles are red. If tright here are 20 red marbles. How many type of marbles does he have actually altogether?

**Answer:** 25 marbles.

**How To:** In this trouble, we know that the Percent is 80, and also we are likewise told that the Part of the marbles is red, so we know that the Part is 20.

So, that indicates that it need to be the Total that"s lacking. Here is the means to number out what the Total is:

Part/Total = Percent/100

By making use of a basic algebra we can re-ararray our Percent equation favor this:

Part × 100/Percent = Total

If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will certainly gain the "Total".

Let"s try it out on our problem around the marbles, that"s extremely easy and it"s simply 2 steps! We recognize that the "Part" (red marbles) is 20.

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

20 × 100 = 2000

In step 2, we take that 2000 and divide it by the "Percent", which we are told is 80.

So, 2000 split by 80 = 25

And that means that the full variety of marbles is 25.

**Question:** A high institution marching band has 20 flute players, If 80 percent of the band also members play the flute, then just how many type of members are in the band?

**Answer:** Tbelow are 25 members in the band.

**How To:** The smaller sized "Part" in this problem is 20 considering that tright here are 20 flute players and we are told that they comprise 80 percent of the band also, so the "Percent" is 80.

Again, it"s the "Total" that"s absent right here, and also to uncover it, we just have to follow our 2 step procedure as the previous problem.

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

20 × 100 = 2000

For step two, we divide that 2000 by the "Percent", which is 80.

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2000 separated by 80 equates to 25

That indicates that the total number of band also members is 25.

## Anvarious other action by action method

Let"s assume the unknown value is **Y**

First creating it as: **100% / Y = 80% / 20**

Drop the percent marks to simplify your calculations: **100 / Y = 80 / 20**

Multiply both sides by Y to move Y on the right side of the equation: **100 = ( 80 / 20 ) Y**