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Solution for 458 is what percent of 75:

458:75*100 =

(458*100):75 =

45800:75 = 610.67

Now we have: 458 is what percent of 75 = 610.67

Question: 458 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

Step 4: In the same vein, {x\%}={458}.

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

{100\%}={75}(1).

{x\%}={458}(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{75}{458}

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

\frac{x\%}{100\%}=\frac{458}{75}

\Rightarrow{x} = {610.67\%}

Therefore, {458} is {610.67\%} of {75}.

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• 458 is what percent of 100 = 458

Solution for 75 is what percent of 458:

75:458*100 =

(75*100):458 =

7500:458 = 16.38

Now we have: 75 is what percent of 458 = 16.38

Question: 75 is what percent of 458?

Percentage solution with steps:

Step 1: We make the assumption that 458 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\%}={458}.

Step 4: In the same vein, {x\%}={75}.

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

{100\%}={458}(1).

{x\%}={75}(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{458}{75}

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

\frac{x\%}{100\%}=\frac{75}{458}

\Rightarrow{x} = {16.38\%}

Therefore, {75} is {16.38\%} of {458}.