#### Solution for 500 is what percent of 769:

500:769*100 =

(500*100):769 =

50000:769 = 65.02

Now we have: 500 is what percent of 769 = 65.02

Question: 500 is what percent of 769?

Percentage solution with steps:

Step 1: We make the assumption that 769 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\%}={769}.

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

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

{100\%}={769}(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{769}{500}

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

\frac{x\%}{100\%}=\frac{500}{769}

\Rightarrow{x} = {65.02\%}

Therefore, {500} is {65.02\%} of {769}.

#### Solution for 769 is what percent of 500:

769:500*100 =

(769*100):500 =

76900:500 = 153.8

Now we have: 769 is what percent of 500 = 153.8

Question: 769 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\%}={769}.

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

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

{x\%}={769}(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}{769}

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

\frac{x\%}{100\%}=\frac{769}{500}

\Rightarrow{x} = {153.8\%}

Therefore, {769} is {153.8\%} of {500}.

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