#### Solution for 97.5 is what percent of 462:

97.5:462*100 =

(97.5*100):462 =

9750:462 = 21.103896103896

Now we have: 97.5 is what percent of 462 = 21.103896103896

Question: 97.5 is what percent of 462?

Percentage solution with steps:

Step 1: We make the assumption that 462 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\%}={462}.

Step 4: In the same vein, {x\%}={97.5}.

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

{100\%}={462}(1).

{x\%}={97.5}(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{462}{97.5}

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

\frac{x\%}{100\%}=\frac{97.5}{462}

\Rightarrow{x} = {21.103896103896\%}

Therefore, {97.5} is {21.103896103896\%} of {462}.

#### Solution for 462 is what percent of 97.5:

462:97.5*100 =

(462*100):97.5 =

46200:97.5 = 473.84615384615

Now we have: 462 is what percent of 97.5 = 473.84615384615

Question: 462 is what percent of 97.5?

Percentage solution with steps:

Step 1: We make the assumption that 97.5 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\%}={97.5}.

Step 4: In the same vein, {x\%}={462}.

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

{100\%}={97.5}(1).

{x\%}={462}(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{97.5}{462}

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

\frac{x\%}{100\%}=\frac{462}{97.5}

\Rightarrow{x} = {473.84615384615\%}

Therefore, {462} is {473.84615384615\%} of {97.5}.

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