#### Solution for .01 is what percent of 500:

.01:500*100 =

(.01*100):500 =

1:500 = 0.002

Now we have: .01 is what percent of 500 = 0.002

Question: .01 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={.01}.

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

{100\%}={500}(1).

{x\%}={.01}(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{500}{.01}

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

\frac{x\%}{100\%}=\frac{.01}{500}

\Rightarrow{x} = {0.002\%}

Therefore, {.01} is {0.002\%} of {500}.

#### Solution for 500 is what percent of .01:

500:.01*100 =

(500*100):.01 =

50000:.01 = 5000000

Now we have: 500 is what percent of .01 = 5000000

Question: 500 is what percent of .01?

Percentage solution with steps:

Step 1: We make the assumption that .01 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\%}={.01}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={.01}(1).

{x\%}={500}(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{.01}{500}

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

\frac{x\%}{100\%}=\frac{500}{.01}

\Rightarrow{x} = {5000000\%}

Therefore, {500} is {5000000\%} of {.01}.

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