#### Solution for 399 is what percent of 500:

399:500*100 =

(399*100):500 =

39900:500 = 79.8

Now we have: 399 is what percent of 500 = 79.8

Question: 399 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\%}={399}.

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

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

{x\%}={399}(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}{399}

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

\frac{x\%}{100\%}=\frac{399}{500}

\Rightarrow{x} = {79.8\%}

Therefore, {399} is {79.8\%} of {500}.

#### Solution for 500 is what percent of 399:

500:399*100 =

(500*100):399 =

50000:399 = 125.31

Now we have: 500 is what percent of 399 = 125.31

Question: 500 is what percent of 399?

Percentage solution with steps:

Step 1: We make the assumption that 399 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\%}={399}.

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

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

{100\%}={399}(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{399}{500}

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

\frac{x\%}{100\%}=\frac{500}{399}

\Rightarrow{x} = {125.31\%}

Therefore, {500} is {125.31\%} of {399}.

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