#### Solution for 31.5 is what percent of 36:

31.5:36*100 =

(31.5*100):36 =

3150:36 = 87.5

Now we have: 31.5 is what percent of 36 = 87.5

Question: 31.5 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

Step 4: In the same vein, {x\%}={31.5}.

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

{100\%}={36}(1).

{x\%}={31.5}(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{36}{31.5}

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

\frac{x\%}{100\%}=\frac{31.5}{36}

\Rightarrow{x} = {87.5\%}

Therefore, {31.5} is {87.5\%} of {36}.

#### Solution for 36 is what percent of 31.5:

36:31.5*100 =

(36*100):31.5 =

3600:31.5 = 114.28571428571

Now we have: 36 is what percent of 31.5 = 114.28571428571

Question: 36 is what percent of 31.5?

Percentage solution with steps:

Step 1: We make the assumption that 31.5 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\%}={31.5}.

Step 4: In the same vein, {x\%}={36}.

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

{100\%}={31.5}(1).

{x\%}={36}(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{31.5}{36}

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

\frac{x\%}{100\%}=\frac{36}{31.5}

\Rightarrow{x} = {114.28571428571\%}

Therefore, {36} is {114.28571428571\%} of {31.5}.

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