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Solution for 40 is what percent of 1645:

40:1645*100 =

(40*100):1645 =

4000:1645 = 2.43

Now we have: 40 is what percent of 1645 = 2.43

Question: 40 is what percent of 1645?

Percentage solution with steps:

Step 1: We make the assumption that 1645 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\%}={1645}.

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

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

{100\%}={1645}(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{1645}{40}

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

\frac{x\%}{100\%}=\frac{40}{1645}

\Rightarrow{x} = {2.43\%}

Therefore, {40} is {2.43\%} of {1645}.

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Solution for 1645 is what percent of 40:

1645:40*100 =

(1645*100):40 =

164500:40 = 4112.5

Now we have: 1645 is what percent of 40 = 4112.5

Question: 1645 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\%}={1645}.

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

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

{x\%}={1645}(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}{1645}

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

\frac{x\%}{100\%}=\frac{1645}{40}

\Rightarrow{x} = {4112.5\%}

Therefore, {1645} is {4112.5\%} of {40}.