#### Solution for .5 is what percent of 4:

.5: 4*100 =

(.5*100): 4 =

50: 4 = 12.5

Now we have: .5 is what percent of 4 = 12.5

Question: .5 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 4 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\%}={ 4}.

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

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

{100\%}={ 4}(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{ 4}{.5}

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

\frac{x\%}{100\%}=\frac{.5}{ 4}

\Rightarrow{x} = {12.5\%}

Therefore, {.5} is {12.5\%} of { 4}.

#### Solution for 4 is what percent of .5:

4:.5*100 =

( 4*100):.5 =

400:.5 = 800

Now we have: 4 is what percent of .5 = 800

Question: 4 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\%}={ 4}.

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

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

{x\%}={ 4}(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}{ 4}

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

\frac{x\%}{100\%}=\frac{ 4}{.5}

\Rightarrow{x} = {800\%}

Therefore, { 4} is {800\%} of {.5}.

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