# Percentage Calculator

### 46 is what percent of 100?

#### Solution for 46 is what percent of 100:

46:100*100 =

( 46*100):100 =

4600:100 = 46

**Now we have: 46 is what percent of 100 = 46**

**Question: 46 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\%}={ 46}.

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

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

{x\%}={ 46}(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}{ 46}

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

\frac{x\%}{100\%}=\frac{ 46}{100}

\Rightarrow{x} = {46\%}

Therefore, { 46} is {46\%} of {100}.

#### Solution for 100 is what percent of 46:

100: 46*100 =

(100*100): 46 =

10000: 46 = 217.39

**Now we have: 100 is what percent of 46 = 217.39**

**Question: 100 is what percent of 46?**

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={ 46}.

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

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

{100\%}={ 46}(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{ 46}{100}

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

\frac{x\%}{100\%}=\frac{100}{ 46}

\Rightarrow{x} = {217.39\%}

Therefore, {100} is {217.39\%} of { 46}.

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