# Percentage Calculator

### 25 is what percent of 456?

#### Solution for 25 is what percent of 456:

25:456*100 =

(25*100):456 =

2500:456 = 5.48

**Now we have: 25 is what percent of 456 = 5.48**

**Question: 25 is what percent of 456?**

Percentage solution with steps:

Step 1: We make the assumption that 456 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\%}={456}.

Step 4: In the same vein, {x\%}={25}.

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

{100\%}={456}(1).

{x\%}={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{456}{25}

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

\frac{x\%}{100\%}=\frac{25}{456}

\Rightarrow{x} = {5.48\%}

Therefore, {25} is {5.48\%} of {456}.

#### Solution for 456 is what percent of 25:

456:25*100 =

(456*100):25 =

45600:25 = 1824

**Now we have: 456 is what percent of 25 = 1824**

**Question: 456 is what percent of 25?**

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={25}.

Step 4: In the same vein, {x\%}={456}.

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

{100\%}={25}(1).

{x\%}={456}(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{25}{456}

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

\frac{x\%}{100\%}=\frac{456}{25}

\Rightarrow{x} = {1824\%}

Therefore, {456} is {1824\%} of {25}.

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