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Solution for 400 is what percent of 250:

400:250*100 =

(400*100):250 =

40000:250 = 160

Now we have: 400 is what percent of 250 = 160

Question: 400 is what percent of 250?

Percentage solution with steps:

Step 1: We make the assumption that 250 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\%}={250}.

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

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

{100\%}={250}(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{250}{400}

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

\frac{x\%}{100\%}=\frac{400}{250}

\Rightarrow{x} = {160\%}

Therefore, {400} is {160\%} of {250}.

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Solution for 250 is what percent of 400:

250:400*100 =

(250*100):400 =

25000:400 = 62.5

Now we have: 250 is what percent of 400 = 62.5

Question: 250 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\%}={250}.

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

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

{x\%}={250}(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}{250}

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

\frac{x\%}{100\%}=\frac{250}{400}

\Rightarrow{x} = {62.5\%}

Therefore, {250} is {62.5\%} of {400}.