#### Solution for 0.5 is what percent of 5:

0.5:5*100 =

(0.5*100):5 =

50:5 = 10

Now we have: 0.5 is what percent of 5 = 10

Question: 0.5 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\%}={0.5}.

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

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

{x\%}={0.5}(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{5}{0.5}

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

\frac{x\%}{100\%}=\frac{0.5}{5}

\Rightarrow{x} = {10\%}

Therefore, {0.5} is {10\%} of {5}.

#### Solution for 5 is what percent of 0.5:

5:0.5*100 =

(5*100):0.5 =

500:0.5 = 1000

Now we have: 5 is what percent of 0.5 = 1000

Question: 5 is what percent of 0.5?

Percentage solution with steps:

Step 1: We make the assumption that 0.5 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\%}={0.5}.

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

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

{100\%}={0.5}(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{0.5}{5}

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

\frac{x\%}{100\%}=\frac{5}{0.5}

\Rightarrow{x} = {1000\%}

Therefore, {5} is {1000\%} of {0.5}.

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