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Solution for 400.1 is what percent of 40:

400.1:40*100 =

(400.1*100):40 =

40010:40 = 1000.25

Now we have: 400.1 is what percent of 40 = 1000.25

Question: 400.1 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\%}={400.1}.

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

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

{x\%}={400.1}(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}{400.1}

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

\frac{x\%}{100\%}=\frac{400.1}{40}

\Rightarrow{x} = {1000.25\%}

Therefore, {400.1} is {1000.25\%} of {40}.

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Solution for 40 is what percent of 400.1:

40:400.1*100 =

(40*100):400.1 =

4000:400.1 = 9.9975006248438

Now we have: 40 is what percent of 400.1 = 9.9975006248438

Question: 40 is what percent of 400.1?

Percentage solution with steps:

Step 1: We make the assumption that 400.1 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\%}={400.1}.

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

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

{100\%}={400.1}(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{400.1}{40}

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

\frac{x\%}{100\%}=\frac{40}{400.1}

\Rightarrow{x} = {9.9975006248438\%}

Therefore, {40} is {9.9975006248438\%} of {400.1}.