#### Solution for .12 is what percent of 450:

.12:450*100 =

(.12*100):450 =

12:450 = 0.03

Now we have: .12 is what percent of 450 = 0.03

Question: .12 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

Step 4: In the same vein, {x\%}={.12}.

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

{100\%}={450}(1).

{x\%}={.12}(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{450}{.12}

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

\frac{x\%}{100\%}=\frac{.12}{450}

\Rightarrow{x} = {0.03\%}

Therefore, {.12} is {0.03\%} of {450}.

#### Solution for 450 is what percent of .12:

450:.12*100 =

(450*100):.12 =

45000:.12 = 375000

Now we have: 450 is what percent of .12 = 375000

Question: 450 is what percent of .12?

Percentage solution with steps:

Step 1: We make the assumption that .12 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\%}={.12}.

Step 4: In the same vein, {x\%}={450}.

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

{100\%}={.12}(1).

{x\%}={450}(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{.12}{450}

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

\frac{x\%}{100\%}=\frac{450}{.12}

\Rightarrow{x} = {375000\%}

Therefore, {450} is {375000\%} of {.12}.

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