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Solution for 400 is what percent of 405:

400:405*100 =

(400*100):405 =

40000:405 = 98.77

Now we have: 400 is what percent of 405 = 98.77

Question: 400 is what percent of 405?

Percentage solution with steps:

Step 1: We make the assumption that 405 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\%}={405}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={405}(1).

{x\%}={400}(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{405}{400}

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

\frac{x\%}{100\%}=\frac{400}{405}

\Rightarrow{x} = {98.77\%}

Therefore, {400} is {98.77\%} of {405}.

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Solution for 405 is what percent of 400:

405:400*100 =

(405*100):400 =

40500:400 = 101.25

Now we have: 405 is what percent of 400 = 101.25

Question: 405 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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}.

Step 4: In the same vein, {x\%}={405}.

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

{100\%}={400}(1).

{x\%}={405}(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}{405}

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

\frac{x\%}{100\%}=\frac{405}{400}

\Rightarrow{x} = {101.25\%}

Therefore, {405} is {101.25\%} of {400}.