## Step by action solution because that calculating 40 is 200 percent of what number

We currently have our first value **40** and the 2nd value **200**. Let"s assume the unknown value is **Y** i beg your pardon answer us will discover out.

You are watching: What number is 40 of 200

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

STEP 140 = 200% × Y

STEP 240 = 200/100× Y

Multiplying both political parties by 100 and dividing both sides of the equation by 200 we will certainly arrive at:

STEP 3Y = 40 × 100/200

STEP 4Y = 40 × 100 ÷ 200

STEP 5Y = 20

Finally, we have uncovered the worth of Y i m sorry is 20 and that is our answer.

You can easily calculate **40 is 200 percent of what number** through using any regular calculator, simply go into **40 × 100 ÷ 200** and you will gain your answer i m sorry is **20**

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## Sample questions, answers, and how to

**Question:** her friend has actually a bag the marbles, and he speak you that 200 percent the the marbles space red. If there space 40 red marbles. How many marbles does he have actually altogether?

**Answer:** 20 marbles.

**How To:** In this problem, we understand that the Percent is 200, and we are likewise told the the component of the marbles is red, therefore we know that the component is 40.

So, that method that it have to be the full that"s missing. Below is the way to number out what the complete is:

Part/Total = Percent/100

By making use of a straightforward algebra we deserve to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it out on ours problem around the marbles, that"s very simple and it"s simply two steps! We recognize that the "Part" (red marbles) is 40.

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

40 × 100 = 4000

In action two, us take that 4000 and divide it by the "Percent", i m sorry we room told is 200.

So, 4000 split by 200 = 20

And that method that the total variety of marbles is 20.

**Question:** A high institution marching band has actually 40 flute players, If 200 percent of the band members play the flute, climate how many members are in the band?

**Answer:** There room 20 members in the band.

**How To:** The smaller sized "Part" in this trouble is 40 because there are 40 flute players and we room told that they consist of 200 percent the the band, for this reason the "Percent" is 200.

Again, it"s the "Total" that"s missing here, and also to find it, we just need to monitor our 2 action procedure together the vault problem.

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

40 × 100 = 4000

For step two, we divide that 4000 by the "Percent", which is 200.

See more: How Far From Florida To Cuba, Distance From Florida Keys To Cuba

4000 separated by 200 equates to 20

That way that the total number of band members is 20.

## Another action by action method

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

**Step 2:** an initial writing it as: **100% / Y = 200% / 40**

**Step 3:** fall the percentage marks to simplify your calculations: **100 / Y = 200 / 40**

**Step 4:** multiply both sides by Y to move Y ~ above the best side that the equation: **100 = ( 200 / 40 ) Y**

**Step 5:** simplifying the ideal side, we get: **100 = 200 Y**

**Step 6:** splitting both political parties of the equation through 200, we will certainly arrive in ~ **20 = Y**

This leaves us through our last answer: **40 is 200 percent the 20**

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