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Solution for 3200 is what percent of 40:

3200:40*100 =

(3200*100):40 =

320000:40 = 8000

Now we have: 3200 is what percent of 40 = 8000

Question: 3200 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{3200}

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

\frac{x\%}{100\%}=\frac{3200}{40}

\Rightarrow{x} = {8000\%}

Therefore, {3200} is {8000\%} of {40}.

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Solution for 40 is what percent of 3200:

40:3200*100 =

(40*100):3200 =

4000:3200 = 1.25

Now we have: 40 is what percent of 3200 = 1.25

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{3200}

\Rightarrow{x} = {1.25\%}

Therefore, {40} is {1.25\%} of {3200}.