#### Solution for 125 is what percent of 500:

125:500*100 =

(125*100):500 =

12500:500 = 25

Now we have: 125 is what percent of 500 = 25

Question: 125 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\%}={125}.

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

{100\%}={500}(1).

{x\%}={125}(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}{125}

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

\frac{x\%}{100\%}=\frac{125}{500}

\Rightarrow{x} = {25\%}

Therefore, {125} is {25\%} of {500}.

#### Solution for 500 is what percent of 125:

500:125*100 =

(500*100):125 =

50000:125 = 400

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

Question: 500 is what percent of 125?

Percentage solution with steps:

Step 1: We make the assumption that 125 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\%}={125}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={125}(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{125}{500}

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

\frac{x\%}{100\%}=\frac{500}{125}

\Rightarrow{x} = {400\%}

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

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