#### Solution for 185 is what percent of 175:

185:175*100 =

(185*100):175 =

18500:175 = 105.71

Now we have: 185 is what percent of 175 = 105.71

Question: 185 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\%}={185}.

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

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

{x\%}={185}(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}{185}

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

\frac{x\%}{100\%}=\frac{185}{175}

\Rightarrow{x} = {105.71\%}

Therefore, {185} is {105.71\%} of {175}.

#### Solution for 175 is what percent of 185:

175:185*100 =

(175*100):185 =

17500:185 = 94.59

Now we have: 175 is what percent of 185 = 94.59

Question: 175 is what percent of 185?

Percentage solution with steps:

Step 1: We make the assumption that 185 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\%}={185}.

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

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

{100\%}={185}(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{185}{175}

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

\frac{x\%}{100\%}=\frac{175}{185}

\Rightarrow{x} = {94.59\%}

Therefore, {175} is {94.59\%} of {185}.

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