#### Solution for 400 is what percent of 500:

400: 500*100 =

(400*100): 500 =

40000: 500 = 80

Now we have: 400 is what percent of 500 = 80

Question: 400 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={ 500}.

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

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

{100\%}={ 500}(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{ 500}{400}

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

\frac{x\%}{100\%}=\frac{400}{ 500}

\Rightarrow{x} = {80\%}

Therefore, {400} is {80\%} of { 500}.

#### Solution for 500 is what percent of 400:

500:400*100 =

( 500*100):400 =

50000:400 = 125

Now we have: 500 is what percent of 400 = 125

Question: 500 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\%}={ 500}.

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

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

{x\%}={ 500}(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}{ 500}

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

\frac{x\%}{100\%}=\frac{ 500}{400}

\Rightarrow{x} = {125\%}

Therefore, { 500} is {125\%} of {400}.

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