#### Solution for 23 is what percent of 175:

23:175*100 =

(23*100):175 =

2300:175 = 13.14

Now we have: 23 is what percent of 175 = 13.14

Question: 23 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\%}={23}.

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

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

{x\%}={23}(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}{23}

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

\frac{x\%}{100\%}=\frac{23}{175}

\Rightarrow{x} = {13.14\%}

Therefore, {23} is {13.14\%} of {175}.

#### Solution for 175 is what percent of 23:

175:23*100 =

(175*100):23 =

17500:23 = 760.87

Now we have: 175 is what percent of 23 = 760.87

Question: 175 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={23}.

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

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

{100\%}={23}(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{23}{175}

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

\frac{x\%}{100\%}=\frac{175}{23}

\Rightarrow{x} = {760.87\%}

Therefore, {175} is {760.87\%} of {23}.

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