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Solution for 1265 is what percent of 40:

1265:40*100 =

(1265*100):40 =

126500:40 = 3162.5

Now we have: 1265 is what percent of 40 = 3162.5

Question: 1265 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\%}={1265}.

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

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

{x\%}={1265}(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}{1265}

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

\frac{x\%}{100\%}=\frac{1265}{40}

\Rightarrow{x} = {3162.5\%}

Therefore, {1265} is {3162.5\%} of {40}.

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Solution for 40 is what percent of 1265:

40:1265*100 =

(40*100):1265 =

4000:1265 = 3.16

Now we have: 40 is what percent of 1265 = 3.16

Question: 40 is what percent of 1265?

Percentage solution with steps:

Step 1: We make the assumption that 1265 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\%}={1265}.

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

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

{100\%}={1265}(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{1265}{40}

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

\frac{x\%}{100\%}=\frac{40}{1265}

\Rightarrow{x} = {3.16\%}

Therefore, {40} is {3.16\%} of {1265}.