## A straightforward step by step solution for calculating 40 is what percent of 320

We already have our an initial value **40** and the 2nd value **320**. Let"s i think the unknown value is **Y** which answer us will uncover out.

You are watching: 40 is what percent of 320

As we have all the required values we need, currently we deserve to put lock in a simple mathematical formula together below:

STEP 1Y = 40/320

By multiplying both numerator and denominator by 100 we will get:

STEP 2Y = 40/320 × 100/100 = 12.5/100

STEP 3Y = 12.5

Finally, we have uncovered the value of Y which is 12.5 and also that is our answer.

If you want to usage a calculator to uncover **40 is what percent that 320**, simply go into **40 ÷ 320 × 100** and also you will acquire your answer i beg your pardon is **12.5**

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Here is a calculator come solve percent calculations such as 40 is what percent the 320. You deserve to solve this type of calculation with your values by start them right into the calculator"s fields, and also click *"Calculate"* to acquire the an outcome and explanation.

## Sample questions and answers

**Question:** your Uncle, that loves to collect antique coins, built up 40 coins indigenous his perform of 320 coins. What percent that coins has actually he collected?

**Answer:** He gathered 12.5 percent the the coins from his list.

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**Question:** her aunt has actually baked 320 cookies, and she offered you 40 to take home with you. What percent the the cookies did she offer you?

**Answer:** 12.5 percent the the cookies.

## Another action by action method

Let"s resolve the equation because that Y by first rewriting it as: **100% / 320 = Y% / 40**

Drop the percent marks to leveling your calculations: **100 / 320 = Y / 40**

Multiply both sides by 40 to isolate Y ~ above the right side that the equation: **40 ( 100 / 320 ) = Y**

Computing the left side, us get: **12.5 = Y**

This leaves us v our last answer: **40 is 12.5 percent of 320**

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