# Percentage Calculator

### 100 is what percent of 352?

#### Solution for 100 is what percent of 352:

100:352*100 =

(100*100):352 =

10000:352 = 28.41

**Now we have: 100 is what percent of 352 = 28.41**

**Question: 100 is what percent of 352?**

Percentage solution with steps:

Step 1: We make the assumption that 352 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={352}.

Step 4: In the same vein, {x\%}={100}.

Step 5: This gives us a pair of simple equations:

{100\%}={352}(1).

{x\%}={100}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{352}{100}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{100}{352}

\Rightarrow{x} = {28.41\%}

Therefore, {100} is {28.41\%} of {352}.

#### Solution for 352 is what percent of 100:

352:100*100 =

(352*100):100 =

35200:100 = 352

**Now we have: 352 is what percent of 100 = 352**

**Question: 352 is what percent of 100?**

Percentage solution with steps:

Step 1: We make the assumption that 100 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={100}.

Step 4: In the same vein, {x\%}={352}.

Step 5: This gives us a pair of simple equations:

{100\%}={100}(1).

{x\%}={352}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{100}{352}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{352}{100}

\Rightarrow{x} = {352\%}

Therefore, {352} is {352\%} of {100}.

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