#### Solution for 63.5 is what percent of 180:

63.5:180*100 =

(63.5*100):180 =

6350:180 = 35.277777777778

Now we have: 63.5 is what percent of 180 = 35.277777777778

Question: 63.5 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\%}={63.5}.

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

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

{x\%}={63.5}(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}{63.5}

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

\frac{x\%}{100\%}=\frac{63.5}{180}

\Rightarrow{x} = {35.277777777778\%}

Therefore, {63.5} is {35.277777777778\%} of {180}.

#### Solution for 180 is what percent of 63.5:

180:63.5*100 =

(180*100):63.5 =

18000:63.5 = 283.46456692913

Now we have: 180 is what percent of 63.5 = 283.46456692913

Question: 180 is what percent of 63.5?

Percentage solution with steps:

Step 1: We make the assumption that 63.5 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\%}={63.5}.

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

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

{100\%}={63.5}(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{63.5}{180}

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

\frac{x\%}{100\%}=\frac{180}{63.5}

\Rightarrow{x} = {283.46456692913\%}

Therefore, {180} is {283.46456692913\%} of {63.5}.

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