# Percentage Calculator

### 258 is what percent of 508?

#### Solution for 258 is what percent of 508:

258:508*100 =

(258*100):508 =

25800:508 = 50.79

**Now we have: 258 is what percent of 508 = 50.79**

**Question: 258 is what percent of 508?**

Percentage solution with steps:

Step 1: We make the assumption that 508 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\%}={508}.

Step 4: In the same vein, {x\%}={258}.

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

{100\%}={508}(1).

{x\%}={258}(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{508}{258}

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

\frac{x\%}{100\%}=\frac{258}{508}

\Rightarrow{x} = {50.79\%}

Therefore, {258} is {50.79\%} of {508}.

#### Solution for 508 is what percent of 258:

508:258*100 =

(508*100):258 =

50800:258 = 196.9

**Now we have: 508 is what percent of 258 = 196.9**

**Question: 508 is what percent of 258?**

Percentage solution with steps:

Step 1: We make the assumption that 258 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\%}={258}.

Step 4: In the same vein, {x\%}={508}.

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

{100\%}={258}(1).

{x\%}={508}(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{258}{508}

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

\frac{x\%}{100\%}=\frac{508}{258}

\Rightarrow{x} = {196.9\%}

Therefore, {508} is {196.9\%} of {258}.

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