#### Solution for 252 is what percent of 400:

252: 400*100 =

(252*100): 400 =

25200: 400 = 63

Now we have: 252 is what percent of 400 = 63

Question: 252 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\%}={252}.

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

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

{x\%}={252}(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}{252}

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

\frac{x\%}{100\%}=\frac{252}{ 400}

\Rightarrow{x} = {63\%}

Therefore, {252} is {63\%} of { 400}.

#### Solution for 400 is what percent of 252:

400:252*100 =

( 400*100):252 =

40000:252 = 158.73

Now we have: 400 is what percent of 252 = 158.73

Question: 400 is what percent of 252?

Percentage solution with steps:

Step 1: We make the assumption that 252 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\%}={252}.

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

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

{100\%}={252}(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{252}{ 400}

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

\frac{x\%}{100\%}=\frac{ 400}{252}

\Rightarrow{x} = {158.73\%}

Therefore, { 400} is {158.73\%} of {252}.

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