#### Solution for .12 is what percent of 20:

.12:20*100 =

(.12*100):20 =

12:20 = 0.6

Now we have: .12 is what percent of 20 = 0.6

Question: .12 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

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

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

{100\%}={20}(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{20}{.12}

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

\frac{x\%}{100\%}=\frac{.12}{20}

\Rightarrow{x} = {0.6\%}

Therefore, {.12} is {0.6\%} of {20}.

#### Solution for 20 is what percent of .12:

20:.12*100 =

(20*100):.12 =

2000:.12 = 16666.67

Now we have: 20 is what percent of .12 = 16666.67

Question: 20 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\%}={20}.

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

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

{x\%}={20}(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}{20}

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

\frac{x\%}{100\%}=\frac{20}{.12}

\Rightarrow{x} = {16666.67\%}

Therefore, {20} is {16666.67\%} of {.12}.

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