#### Solution for 180 is what percent of 675:

180:675*100 =

(180*100):675 =

18000:675 = 26.67

Now we have: 180 is what percent of 675 = 26.67

Question: 180 is what percent of 675?

Percentage solution with steps:

Step 1: We make the assumption that 675 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\%}={675}.

Step 4: In the same vein, {x\%}={180}.

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

{100\%}={675}(1).

{x\%}={180}(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{675}{180}

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

\frac{x\%}{100\%}=\frac{180}{675}

\Rightarrow{x} = {26.67\%}

Therefore, {180} is {26.67\%} of {675}.

#### Solution for 675 is what percent of 180:

675:180*100 =

(675*100):180 =

67500:180 = 375

Now we have: 675 is what percent of 180 = 375

Question: 675 is what percent of 180?

Percentage solution with steps:

Step 1: We make the assumption that 180 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\%}={180}.

Step 4: In the same vein, {x\%}={675}.

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

{100\%}={180}(1).

{x\%}={675}(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{180}{675}

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

\frac{x\%}{100\%}=\frac{675}{180}

\Rightarrow{x} = {375\%}

Therefore, {675} is {375\%} of {180}.

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