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Solution for 800 is what percent of 6400:

800:6400*100 =

(800*100):6400 =

80000:6400 = 12.5

Now we have: 800 is what percent of 6400 = 12.5

Question: 800 is what percent of 6400?

Percentage solution with steps:

Step 1: We make the assumption that 6400 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\%}={6400}.

Step 4: In the same vein, {x\%}={800}.

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

{100\%}={6400}(1).

{x\%}={800}(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{6400}{800}

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

\frac{x\%}{100\%}=\frac{800}{6400}

\Rightarrow{x} = {12.5\%}

Therefore, {800} is {12.5\%} of {6400}.

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Solution for 6400 is what percent of 800:

6400:800*100 =

(6400*100):800 =

640000:800 = 800

Now we have: 6400 is what percent of 800 = 800

Question: 6400 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 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\%}={800}.

Step 4: In the same vein, {x\%}={6400}.

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

{100\%}={800}(1).

{x\%}={6400}(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{800}{6400}

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

\frac{x\%}{100\%}=\frac{6400}{800}

\Rightarrow{x} = {800\%}

Therefore, {6400} is {800\%} of {800}.