## Step by step solution for calculating 13 is 26 percent of what number

We currently have our first value **13** and the second value **26**. Let"s i think the unknown worth is **Y** i m sorry answer us will discover out.

You are watching: 13 is 26 of what number

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

STEP 113 = 26% × Y

STEP 213 = 26/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation through 26 we will arrive at:

STEP 3Y = 13 × 100/26

STEP 4Y = 13 × 100 ÷ 26

STEP 5Y = 50

Finally, we have uncovered the value of Y which is 50 and that is our answer.

You can conveniently calculate **13 is 26 percent that what number** by using any regular calculator, simply go into **13 × 100 ÷ 26** and you will get your answer which is **50**

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## Sample questions, answers, and also how to

**Question:** your friend has actually a bag that marbles, and also he tells you that 26 percent that the marbles space red. If there space 13 red marbles. How plenty of marbles go he have altogether?

**Answer:** 50 marbles.

**How To:** In this problem, we recognize that the Percent is 26, and we are also told that the part of the marbles is red, so we recognize that the part is 13.

So, that method that it must be the full that"s missing. Right here is the way to number out what the total is:

Part/Total = Percent/100

By making use of a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very basic and it"s simply two steps! We understand that the "Part" (red marbles) is 13.

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

13 × 100 = 1300

In action two, we take the 1300 and also divide that by the "Percent", which we are told is 26.

So, 1300 divided by 26 = 50

And that way that the total variety of marbles is 50.

**Question:** A high college marching band has 13 flute players, If 26 percent that the tape members pat the flute, then how numerous members are in the band?

**Answer:** There room 50 members in the band.

**How To:** The smaller sized "Part" in this difficulty is 13 because there room 13 flute players and also we space told that they comprise 26 percent of the band, so the "Percent" is 26.

Again, it"s the "Total" that"s missing here, and to find it, we simply need to follow our 2 action procedure together the previous problem.

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

13 × 100 = 1300

For action two, we division that 1300 by the "Percent", which is 26.

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1300 divided by 26 equals 50

That method that the total variety of band members is 50.

## Another step by action method

**Step 1:** Let"s assume the unknown value is **Y**

**Step 2:** first writing that as: **100% / Y = 26% / 13**

**Step 3:** fall the portion marks to leveling your calculations: **100 / Y = 26 / 13**

**Step 4:** multiply both political parties by Y to relocate Y on the appropriate side of the equation: **100 = ( 26 / 13 ) Y**

**Step 5:** simplifying the right side, we get: **100 = 26 Y**

**Step 6:** separating both sides of the equation by 26, we will certainly arrive at **50 = Y**

This leaves us v our final answer: **13 is 26 percent that 50**

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