#### Solution for 125 is what percent of 175:

125:175*100 =

(125*100):175 =

12500:175 = 71.43

Now we have: 125 is what percent of 175 = 71.43

Question: 125 is what percent of 175?

Percentage solution with steps:

Step 1: We make the assumption that 175 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\%}={175}.

Step 4: In the same vein, {x\%}={125}.

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

{100\%}={175}(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{175}{125}

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

\frac{x\%}{100\%}=\frac{125}{175}

\Rightarrow{x} = {71.43\%}

Therefore, {125} is {71.43\%} of {175}.

#### Solution for 175 is what percent of 125:

175:125*100 =

(175*100):125 =

17500:125 = 140

Now we have: 175 is what percent of 125 = 140

Question: 175 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\%}={175}.

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

{100\%}={125}(1).

{x\%}={175}(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}{175}

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

\frac{x\%}{100\%}=\frac{175}{125}

\Rightarrow{x} = {140\%}

Therefore, {175} is {140\%} of {125}.

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