#### Solution for 0.2 is what percent of 15.8:

0.2:15.8*100 =

(0.2*100):15.8 =

20:15.8 = 1.2658227848101

Now we have: 0.2 is what percent of 15.8 = 1.2658227848101

Question: 0.2 is what percent of 15.8?

Percentage solution with steps:

Step 1: We make the assumption that 15.8 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\%}={15.8}.

Step 4: In the same vein, {x\%}={0.2}.

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

{100\%}={15.8}(1).

{x\%}={0.2}(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{15.8}{0.2}

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

\frac{x\%}{100\%}=\frac{0.2}{15.8}

\Rightarrow{x} = {1.2658227848101\%}

Therefore, {0.2} is {1.2658227848101\%} of {15.8}.

#### Solution for 15.8 is what percent of 0.2:

15.8:0.2*100 =

(15.8*100):0.2 =

1580:0.2 = 7900

Now we have: 15.8 is what percent of 0.2 = 7900

Question: 15.8 is what percent of 0.2?

Percentage solution with steps:

Step 1: We make the assumption that 0.2 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\%}={0.2}.

Step 4: In the same vein, {x\%}={15.8}.

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

{100\%}={0.2}(1).

{x\%}={15.8}(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{0.2}{15.8}

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

\frac{x\%}{100\%}=\frac{15.8}{0.2}

\Rightarrow{x} = {7900\%}

Therefore, {15.8} is {7900\%} of {0.2}.

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