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Solution for 500 is what percent of 6.4:

500:6.4*100 =

(500*100):6.4 =

50000:6.4 = 7812.5

Now we have: 500 is what percent of 6.4 = 7812.5

Question: 500 is what percent of 6.4?

Percentage solution with steps:

Step 1: We make the assumption that 6.4 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\%}={6.4}.

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

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

{100\%}={6.4}(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{6.4}{500}

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

\frac{x\%}{100\%}=\frac{500}{6.4}

\Rightarrow{x} = {7812.5\%}

Therefore, {500} is {7812.5\%} of {6.4}.

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Solution for 6.4 is what percent of 500:

6.4:500*100 =

(6.4*100):500 =

640:500 = 1.28

Now we have: 6.4 is what percent of 500 = 1.28

Question: 6.4 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\%}={6.4}.

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

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

{x\%}={6.4}(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}{6.4}

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

\frac{x\%}{100\%}=\frac{6.4}{500}

\Rightarrow{x} = {1.28\%}

Therefore, {6.4} is {1.28\%} of {500}.