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Solution for 1. is what percent of 40:

1.:40*100 =

(1.*100):40 =

100:40 = 2.5

Now we have: 1. is what percent of 40 = 2.5

Question: 1. 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\%}={1.}.

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

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

{x\%}={1.}(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}{1.}

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

\frac{x\%}{100\%}=\frac{1.}{40}

\Rightarrow{x} = {2.5\%}

Therefore, {1.} is {2.5\%} of {40}.

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Solution for 40 is what percent of 1.:

40:1.*100 =

(40*100):1. =

4000:1. = 4000

Now we have: 40 is what percent of 1. = 4000

Question: 40 is what percent of 1.?

Percentage solution with steps:

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

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

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

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

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

\frac{x\%}{100\%}=\frac{40}{1.}

\Rightarrow{x} = {4000\%}

Therefore, {40} is {4000\%} of {1.}.