#### Solution for 610 is what percent of 500:

610:500*100 =

(610*100):500 =

61000:500 = 122

Now we have: 610 is what percent of 500 = 122

Question: 610 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\%}={610}.

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

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

{x\%}={610}(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}{610}

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

\frac{x\%}{100\%}=\frac{610}{500}

\Rightarrow{x} = {122\%}

Therefore, {610} is {122\%} of {500}.

#### Solution for 500 is what percent of 610:

500:610*100 =

(500*100):610 =

50000:610 = 81.97

Now we have: 500 is what percent of 610 = 81.97

Question: 500 is what percent of 610?

Percentage solution with steps:

Step 1: We make the assumption that 610 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\%}={610}.

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

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

{100\%}={610}(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{610}{500}

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

\frac{x\%}{100\%}=\frac{500}{610}

\Rightarrow{x} = {81.97\%}

Therefore, {500} is {81.97\%} of {610}.

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