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Solution for 310 is what percent of 500:

310:500*100 =

( 310*100):500 =

31000:500 = 62

Now we have: 310 is what percent of 500 = 62

Question: 310 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\%}={ 310}.

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

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

{x\%}={ 310}(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}{ 310}

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

\frac{x\%}{100\%}=\frac{ 310}{500}

\Rightarrow{x} = {62\%}

Therefore, { 310} is {62\%} of {500}.

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Solution for 500 is what percent of 310:

500: 310*100 =

(500*100): 310 =

50000: 310 = 161.29

Now we have: 500 is what percent of 310 = 161.29

Question: 500 is what percent of 310?

Percentage solution with steps:

Step 1: We make the assumption that 310 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\%}={ 310}.

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

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

{100\%}={ 310}(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{ 310}{500}

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

\frac{x\%}{100\%}=\frac{500}{ 310}

\Rightarrow{x} = {161.29\%}

Therefore, {500} is {161.29\%} of { 310}.