#### Solution for 394 is what percent of 500:

394:500*100 =

(394*100):500 =

39400:500 = 78.8

Now we have: 394 is what percent of 500 = 78.8

Question: 394 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\%}={394}.

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

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

{x\%}={394}(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}{394}

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

\frac{x\%}{100\%}=\frac{394}{500}

\Rightarrow{x} = {78.8\%}

Therefore, {394} is {78.8\%} of {500}.

#### Solution for 500 is what percent of 394:

500:394*100 =

(500*100):394 =

50000:394 = 126.9

Now we have: 500 is what percent of 394 = 126.9

Question: 500 is what percent of 394?

Percentage solution with steps:

Step 1: We make the assumption that 394 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\%}={394}.

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

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

{100\%}={394}(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{394}{500}

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

\frac{x\%}{100\%}=\frac{500}{394}

\Rightarrow{x} = {126.9\%}

Therefore, {500} is {126.9\%} of {394}.

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