#### Solution for 53 is what percent of 180:

53:180*100 =

( 53*100):180 =

5300:180 = 29.44

Now we have: 53 is what percent of 180 = 29.44

Question: 53 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\%}={ 53}.

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

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

{x\%}={ 53}(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}{ 53}

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

\frac{x\%}{100\%}=\frac{ 53}{180}

\Rightarrow{x} = {29.44\%}

Therefore, { 53} is {29.44\%} of {180}.

#### Solution for 180 is what percent of 53:

180: 53*100 =

(180*100): 53 =

18000: 53 = 339.62

Now we have: 180 is what percent of 53 = 339.62

Question: 180 is what percent of 53?

Percentage solution with steps:

Step 1: We make the assumption that 53 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\%}={ 53}.

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

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

{100\%}={ 53}(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{ 53}{180}

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

\frac{x\%}{100\%}=\frac{180}{ 53}

\Rightarrow{x} = {339.62\%}

Therefore, {180} is {339.62\%} of { 53}.

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