#### Solution for 400 is what percent of 445:

400:445*100 =

(400*100):445 =

40000:445 = 89.89

Now we have: 400 is what percent of 445 = 89.89

Question: 400 is what percent of 445?

Percentage solution with steps:

Step 1: We make the assumption that 445 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\%}={445}.

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

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

{100\%}={445}(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{445}{400}

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

\frac{x\%}{100\%}=\frac{400}{445}

\Rightarrow{x} = {89.89\%}

Therefore, {400} is {89.89\%} of {445}.

#### Solution for 445 is what percent of 400:

445:400*100 =

(445*100):400 =

44500:400 = 111.25

Now we have: 445 is what percent of 400 = 111.25

Question: 445 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\%}={445}.

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

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

{x\%}={445}(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}{445}

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

\frac{x\%}{100\%}=\frac{445}{400}

\Rightarrow{x} = {111.25\%}

Therefore, {445} is {111.25\%} of {400}.

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