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Solution for 3.2 is what percent of 400:

3.2:400*100 =

(3.2*100):400 =

320:400 = 0.8

Now we have: 3.2 is what percent of 400 = 0.8

Question: 3.2 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\%}={3.2}.

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

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

{x\%}={3.2}(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}{3.2}

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

\frac{x\%}{100\%}=\frac{3.2}{400}

\Rightarrow{x} = {0.8\%}

Therefore, {3.2} is {0.8\%} of {400}.

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• 3.2 is what percent of 20 = 16
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• 3.2 is what percent of 42 = 7.62
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• 3.2 is what percent of 44 = 7.27
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Solution for 400 is what percent of 3.2:

400:3.2*100 =

(400*100):3.2 =

40000:3.2 = 12500

Now we have: 400 is what percent of 3.2 = 12500

Question: 400 is what percent of 3.2?

Percentage solution with steps:

Step 1: We make the assumption that 3.2 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\%}={3.2}.

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

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

{100\%}={3.2}(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{3.2}{400}

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

\frac{x\%}{100\%}=\frac{400}{3.2}

\Rightarrow{x} = {12500\%}

Therefore, {400} is {12500\%} of {3.2}.