#### Solution for 400 is what percent of 447:

400:447*100 =

(400*100):447 =

40000:447 = 89.49

Now we have: 400 is what percent of 447 = 89.49

Question: 400 is what percent of 447?

Percentage solution with steps:

Step 1: We make the assumption that 447 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\%}={447}.

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

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

{100\%}={447}(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{447}{400}

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

\frac{x\%}{100\%}=\frac{400}{447}

\Rightarrow{x} = {89.49\%}

Therefore, {400} is {89.49\%} of {447}.

#### Solution for 447 is what percent of 400:

447:400*100 =

(447*100):400 =

44700:400 = 111.75

Now we have: 447 is what percent of 400 = 111.75

Question: 447 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\%}={447}.

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

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

{x\%}={447}(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}{447}

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

\frac{x\%}{100\%}=\frac{447}{400}

\Rightarrow{x} = {111.75\%}

Therefore, {447} is {111.75\%} of {400}.

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