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Solution for 2.5 is what percent of 400:

2.5:400*100 =

( 2.5*100):400 =

250:400 = 0.625

Now we have: 2.5 is what percent of 400 = 0.625

Question: 2.5 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\%}={ 2.5}.

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

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

{x\%}={ 2.5}(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}{ 2.5}

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

\frac{x\%}{100\%}=\frac{ 2.5}{400}

\Rightarrow{x} = {0.625\%}

Therefore, { 2.5} is {0.625\%} of {400}.

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Solution for 400 is what percent of 2.5:

400: 2.5*100 =

(400*100): 2.5 =

40000: 2.5 = 16000

Now we have: 400 is what percent of 2.5 = 16000

Question: 400 is what percent of 2.5?

Percentage solution with steps:

Step 1: We make the assumption that 2.5 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\%}={ 2.5}.

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

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

{100\%}={ 2.5}(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{ 2.5}{400}

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

\frac{x\%}{100\%}=\frac{400}{ 2.5}

\Rightarrow{x} = {16000\%}

Therefore, {400} is {16000\%} of { 2.5}.