# Percentage Calculator

### 41.25 is what percent of 52?

#### Solution for 41.25 is what percent of 52:

41.25:52*100 =

(41.25*100):52 =

4125:52 = 79.326923076923

**Now we have: 41.25 is what percent of 52 = 79.326923076923**

**Question: 41.25 is what percent of 52?**

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={41.25}.

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

{100\%}={52}(1).

{x\%}={41.25}(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{52}{41.25}

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

\frac{x\%}{100\%}=\frac{41.25}{52}

\Rightarrow{x} = {79.326923076923\%}

Therefore, {41.25} is {79.326923076923\%} of {52}.

#### Solution for 52 is what percent of 41.25:

52:41.25*100 =

(52*100):41.25 =

5200:41.25 = 126.06060606061

**Now we have: 52 is what percent of 41.25 = 126.06060606061**

**Question: 52 is what percent of 41.25?**

Percentage solution with steps:

Step 1: We make the assumption that 41.25 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\%}={41.25}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={41.25}(1).

{x\%}={52}(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{41.25}{52}

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

\frac{x\%}{100\%}=\frac{52}{41.25}

\Rightarrow{x} = {126.06060606061\%}

Therefore, {52} is {126.06060606061\%} of {41.25}.

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