#### Solution for 58 is what percent of 465:

58:465*100 =

(58*100):465 =

5800:465 = 12.47

Now we have: 58 is what percent of 465 = 12.47

Question: 58 is what percent of 465?

Percentage solution with steps:

Step 1: We make the assumption that 465 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\%}={465}.

Step 4: In the same vein, {x\%}={58}.

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

{100\%}={465}(1).

{x\%}={58}(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{465}{58}

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

\frac{x\%}{100\%}=\frac{58}{465}

\Rightarrow{x} = {12.47\%}

Therefore, {58} is {12.47\%} of {465}.

#### Solution for 465 is what percent of 58:

465:58*100 =

(465*100):58 =

46500:58 = 801.72

Now we have: 465 is what percent of 58 = 801.72

Question: 465 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={58}.

Step 4: In the same vein, {x\%}={465}.

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

{100\%}={58}(1).

{x\%}={465}(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{58}{465}

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

\frac{x\%}{100\%}=\frac{465}{58}

\Rightarrow{x} = {801.72\%}

Therefore, {465} is {801.72\%} of {58}.

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