#### Solution for 314 is what percent of 500:

314: 500*100 =

(314*100): 500 =

31400: 500 = 62.8

Now we have: 314 is what percent of 500 = 62.8

Question: 314 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\%}={314}.

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

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

{x\%}={314}(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}{314}

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

\frac{x\%}{100\%}=\frac{314}{ 500}

\Rightarrow{x} = {62.8\%}

Therefore, {314} is {62.8\%} of { 500}.

#### Solution for 500 is what percent of 314:

500:314*100 =

( 500*100):314 =

50000:314 = 159.24

Now we have: 500 is what percent of 314 = 159.24

Question: 500 is what percent of 314?

Percentage solution with steps:

Step 1: We make the assumption that 314 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\%}={314}.

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

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

{100\%}={314}(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{314}{ 500}

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

\frac{x\%}{100\%}=\frac{ 500}{314}

\Rightarrow{x} = {159.24\%}

Therefore, { 500} is {159.24\%} of {314}.

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