## Step by step solution because that calculating 34 is 40 percent that what number

We already have our very first value **34** and also the second value **40**. Let"s assume the unknown worth is **Y** which answer we will discover out.

You are watching: 40 percent of what number is 34

As we have all the forced values we need, now we have the right to put lock in a straightforward mathematical formula together below:

STEP 134 = 40% × Y

STEP 234 = 40/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 40 we will certainly arrive at:

STEP 3Y = 34 × 100/40

STEP 4Y = 34 × 100 ÷ 40

STEP 5Y = 85

Finally, us have discovered the worth of Y i beg your pardon is 85 and also that is our answer.

You can quickly calculate **34 is 40 percent of what number** by using any kind of regular calculator, simply go into **34 × 100 ÷ 40** and also you will obtain your answer i beg your pardon is **85**

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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 the 40 percent the the marbles room red. If there room 34 red marbles. How countless marbles go he have altogether?

**Answer:** 85 marbles.

**How To:** In this problem, we know that the Percent is 40, and we are also told that the part of the marbles is red, therefore we understand that the part is 34.

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

Part/Total = Percent/100

By making use of a an easy algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

If we take the "Part" and also multiply it by 100, and then we division that by the "Percent", we will acquire the "Total".

Let"s try it out on our problem around the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 34.

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

34 × 100 = 3400

In step two, us take the 3400 and divide the by the "Percent", which we are told is 40.

So, 3400 divided by 40 = 85

And that method that the total variety of marbles is 85.

**Question:** A high institution marching band has actually 34 flute players, If 40 percent the the band members beat the flute, climate how countless members room in the band?

**Answer:** There space 85 members in the band.

**How To:** The smaller "Part" in this problem is 34 since there space 34 flute players and also we space told the they make up 40 percent the the band, so the "Percent" is 40.

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

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

34 × 100 = 3400

For step two, we division that 3400 by the "Percent", which is 40.

See more: What Is The Lcm Of 25 And 40, What Is The Lcm And Gcf Of 40 And 25

3400 split by 40 equals 85

That means that the total variety of band members is 85.

## Another action by action method

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

**Step 2:** first writing the as: **100% / Y = 40% / 34**

**Step 3:** autumn the percentage marks to leveling your calculations: **100 / Y = 40 / 34**

**Step 4:** multiply both political parties by Y to relocate Y top top the ideal side the the equation: **100 = ( 40 / 34 ) Y**

**Step 5:** simplifying the ideal side, we get: **100 = 40 Y**

**Step 6:** separating both political parties of the equation through 40, we will certainly arrive in ~ **85 = Y**

This leaves us v our last answer: **34 is 40 percent that 85**

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