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Solution for 3200 is what percent of 400:

3200:400*100 =

(3200*100):400 =

320000:400 = 800

Now we have: 3200 is what percent of 400 = 800

Question: 3200 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={3200}.

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

{100\%}={400}(1).

{x\%}={3200}(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{400}{3200}

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

\frac{x\%}{100\%}=\frac{3200}{400}

\Rightarrow{x} = {800\%}

Therefore, {3200} is {800\%} of {400}.

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Solution for 400 is what percent of 3200:

400:3200*100 =

(400*100):3200 =

40000:3200 = 12.5

Now we have: 400 is what percent of 3200 = 12.5

Question: 400 is what percent of 3200?

Percentage solution with steps:

Step 1: We make the assumption that 3200 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\%}={3200}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={3200}(1).

{x\%}={400}(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{3200}{400}

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

\frac{x\%}{100\%}=\frac{400}{3200}

\Rightarrow{x} = {12.5\%}

Therefore, {400} is {12.5\%} of {3200}.