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Solution for 262.5 is what percent of 84:

262.5:84*100 =

(262.5*100):84 =

26250:84 = 312.5

Now we have: 262.5 is what percent of 84 = 312.5

Question: 262.5 is what percent of 84?

Percentage solution with steps:

Step 1: We make the assumption that 84 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\%}={84}.

Step 4: In the same vein, {x\%}={262.5}.

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

{100\%}={84}(1).

{x\%}={262.5}(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{84}{262.5}

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

\frac{x\%}{100\%}=\frac{262.5}{84}

\Rightarrow{x} = {312.5\%}

Therefore, {262.5} is {312.5\%} of {84}.

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• 262.5 is what percent of 100 = 262.5

Solution for 84 is what percent of 262.5:

84:262.5*100 =

(84*100):262.5 =

8400:262.5 = 32

Now we have: 84 is what percent of 262.5 = 32

Question: 84 is what percent of 262.5?

Percentage solution with steps:

Step 1: We make the assumption that 262.5 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\%}={262.5}.

Step 4: In the same vein, {x\%}={84}.

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

{100\%}={262.5}(1).

{x\%}={84}(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{262.5}{84}

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

\frac{x\%}{100\%}=\frac{84}{262.5}

\Rightarrow{x} = {32\%}

Therefore, {84} is {32\%} of {262.5}.