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Solution for 400 is what percent of 438:

400:438*100 =

(400*100):438 =

40000:438 = 91.32

Now we have: 400 is what percent of 438 = 91.32

Question: 400 is what percent of 438?

Percentage solution with steps:

Step 1: We make the assumption that 438 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\%}={438}.

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

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

{100\%}={438}(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{438}{400}

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

\frac{x\%}{100\%}=\frac{400}{438}

\Rightarrow{x} = {91.32\%}

Therefore, {400} is {91.32\%} of {438}.

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Solution for 438 is what percent of 400:

438:400*100 =

(438*100):400 =

43800:400 = 109.5

Now we have: 438 is what percent of 400 = 109.5

Question: 438 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\%}={438}.

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

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

{x\%}={438}(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}{438}

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

\frac{x\%}{100\%}=\frac{438}{400}

\Rightarrow{x} = {109.5\%}

Therefore, {438} is {109.5\%} of {400}.