#### Solution for 3 is what percent of 456:

3:456*100 =

(3*100):456 =

300:456 = 0.66

Now we have: 3 is what percent of 456 = 0.66

Question: 3 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\%}={3}.

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

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

{x\%}={3}(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}{3}

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

\frac{x\%}{100\%}=\frac{3}{456}

\Rightarrow{x} = {0.66\%}

Therefore, {3} is {0.66\%} of {456}.

#### Solution for 456 is what percent of 3:

456:3*100 =

(456*100):3 =

45600:3 = 15200

Now we have: 456 is what percent of 3 = 15200

Question: 456 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

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

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

{100\%}={3}(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{3}{456}

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

\frac{x\%}{100\%}=\frac{456}{3}

\Rightarrow{x} = {15200\%}

Therefore, {456} is {15200\%} of {3}.

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