# Percentage Calculator

### 362 is what percent of 76?

#### Solution for 362 is what percent of 76:

362:76*100 =

(362*100):76 =

36200:76 = 476.32

**Now we have: 362 is what percent of 76 = 476.32**

**Question: 362 is what percent of 76?**

Percentage solution with steps:

Step 1: We make the assumption that 76 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\%}={76}.

Step 4: In the same vein, {x\%}={362}.

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

{100\%}={76}(1).

{x\%}={362}(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{76}{362}

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

\frac{x\%}{100\%}=\frac{362}{76}

\Rightarrow{x} = {476.32\%}

Therefore, {362} is {476.32\%} of {76}.

#### Solution for 76 is what percent of 362:

76:362*100 =

(76*100):362 =

7600:362 = 20.99

**Now we have: 76 is what percent of 362 = 20.99**

**Question: 76 is what percent of 362?**

Percentage solution with steps:

Step 1: We make the assumption that 362 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\%}={362}.

Step 4: In the same vein, {x\%}={76}.

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

{100\%}={362}(1).

{x\%}={76}(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{362}{76}

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

\frac{x\%}{100\%}=\frac{76}{362}

\Rightarrow{x} = {20.99\%}

Therefore, {76} is {20.99\%} of {362}.