## A straightforward step by step solution because that calculating 52 is what percent that 160

We currently have our an initial value **52** and the 2nd value **160**. Let"s assume the unknown value is **Y** i m sorry answer us will uncover out.

You are watching: 52 is what percent of 160

As we have actually all the compelled values us need, currently we have the right to put them in a straightforward mathematical formula together below:

STEP 1Y = 52/160

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

STEP 2Y = 52/160 × 100/100 = 32.5/100

STEP 3Y = 32.5

Finally, we have uncovered the worth of Y which is 32.5 and also that is our answer.

If you desire to usage a calculator to find **52 is what percent the 160**, simply get in **52 ÷ 160 × 100** and you will gain your answer which is **32.5**

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## Sample questions and also answers

**Question:** your Uncle, who loves to collection antique coins, collected 52 coins native his perform of 160 coins. What percent of coins has actually he collected?

**Answer:** He collected 32.5 percent of the coins indigenous his list.

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**Question:** your aunt has baked 160 cookies, and also she offered you 52 to take residence with you. What percent of the cookie did she provide you?

**Answer:** 32.5 percent of the cookies.

## Another action by action method

Let"s deal with the equation because that Y by an initial rewriting the as: **100% / 160 = Y% / 52**

Drop the percentage marks to leveling your calculations: **100 / 160 = Y / 52**

Multiply both political parties by 52 to isolate Y on the appropriate side that the equation: **52 ( 100 / 160 ) = Y**

Computing the left side, us get: **32.5 = Y**

This pipeline us v our last answer: **52 is 32.5 percent the 160**

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