#### Solution for 398 is what percent of 500:

398:500*100 =

(398*100):500 =

39800:500 = 79.6

Now we have: 398 is what percent of 500 = 79.6

Question: 398 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\%}={398}.

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

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

{x\%}={398}(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}{398}

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

\frac{x\%}{100\%}=\frac{398}{500}

\Rightarrow{x} = {79.6\%}

Therefore, {398} is {79.6\%} of {500}.

#### Solution for 500 is what percent of 398:

500:398*100 =

(500*100):398 =

50000:398 = 125.63

Now we have: 500 is what percent of 398 = 125.63

Question: 500 is what percent of 398?

Percentage solution with steps:

Step 1: We make the assumption that 398 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\%}={398}.

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

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

{100\%}={398}(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{398}{500}

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

\frac{x\%}{100\%}=\frac{500}{398}

\Rightarrow{x} = {125.63\%}

Therefore, {500} is {125.63\%} of {398}.

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