#### Solution for 175 is what percent of 251:

175:251*100 =

(175*100):251 =

17500:251 = 69.72

Now we have: 175 is what percent of 251 = 69.72

Question: 175 is what percent of 251?

Percentage solution with steps:

Step 1: We make the assumption that 251 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\%}={251}.

Step 4: In the same vein, {x\%}={175}.

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

{100\%}={251}(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{251}{175}

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

\frac{x\%}{100\%}=\frac{175}{251}

\Rightarrow{x} = {69.72\%}

Therefore, {175} is {69.72\%} of {251}.

#### Solution for 251 is what percent of 175:

251:175*100 =

(251*100):175 =

25100:175 = 143.43

Now we have: 251 is what percent of 175 = 143.43

Question: 251 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\%}={251}.

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

{100\%}={175}(1).

{x\%}={251}(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}{251}

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

\frac{x\%}{100\%}=\frac{251}{175}

\Rightarrow{x} = {143.43\%}

Therefore, {251} is {143.43\%} of {175}.

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