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Solution for 40 is what percent of 1250:

40:1250*100 =

(40*100):1250 =

4000:1250 = 3.2

Now we have: 40 is what percent of 1250 = 3.2

Question: 40 is what percent of 1250?

Percentage solution with steps:

Step 1: We make the assumption that 1250 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\%}={1250}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={1250}(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{1250}{40}

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

\frac{x\%}{100\%}=\frac{40}{1250}

\Rightarrow{x} = {3.2\%}

Therefore, {40} is {3.2\%} of {1250}.

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Solution for 1250 is what percent of 40:

1250:40*100 =

(1250*100):40 =

125000:40 = 3125

Now we have: 1250 is what percent of 40 = 3125

Question: 1250 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\%}={1250}.

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

{100\%}={40}(1).

{x\%}={1250}(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}{1250}

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

\frac{x\%}{100\%}=\frac{1250}{40}

\Rightarrow{x} = {3125\%}

Therefore, {1250} is {3125\%} of {40}.