#### Solution for .2 is what percent of 5:

.2:5*100 =

(.2*100):5 =

20:5 = 4

Now we have: .2 is what percent of 5 = 4

Question: .2 is what percent of 5?

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={5}.

Step 4: In the same vein, {x\%}={.2}.

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

{100\%}={5}(1).

{x\%}={.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{5}{.2}

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

\frac{x\%}{100\%}=\frac{.2}{5}

\Rightarrow{x} = {4\%}

Therefore, {.2} is {4\%} of {5}.

#### Solution for 5 is what percent of .2:

5:.2*100 =

(5*100):.2 =

500:.2 = 2500

Now we have: 5 is what percent of .2 = 2500

Question: 5 is what percent of .2?

Percentage solution with steps:

Step 1: We make the assumption that .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\%}={.2}.

Step 4: In the same vein, {x\%}={5}.

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

{100\%}={.2}(1).

{x\%}={5}(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{.2}{5}

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

\frac{x\%}{100\%}=\frac{5}{.2}

\Rightarrow{x} = {2500\%}

Therefore, {5} is {2500\%} of {.2}.

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