#### Solution for 31.5 is what percent of 53:

31.5:53*100 =

(31.5*100):53 =

3150:53 = 59.433962264151

Now we have: 31.5 is what percent of 53 = 59.433962264151

Question: 31.5 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\%}={31.5}.

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

{100\%}={53}(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{53}{31.5}

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

\frac{x\%}{100\%}=\frac{31.5}{53}

\Rightarrow{x} = {59.433962264151\%}

Therefore, {31.5} is {59.433962264151\%} of {53}.

#### Solution for 53 is what percent of 31.5:

53:31.5*100 =

(53*100):31.5 =

5300:31.5 = 168.25396825397

Now we have: 53 is what percent of 31.5 = 168.25396825397

Question: 53 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\%}={53}.

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

{100\%}={31.5}(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{31.5}{53}

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

\frac{x\%}{100\%}=\frac{53}{31.5}

\Rightarrow{x} = {168.25396825397\%}

Therefore, {53} is {168.25396825397\%} of {31.5}.

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