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Solution for 456 is what percent of 585:

456:585*100 =

(456*100):585 =

45600:585 = 77.95

Now we have: 456 is what percent of 585 = 77.95

Question: 456 is what percent of 585?

Percentage solution with steps:

Step 1: We make the assumption that 585 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\%}={585}.

Step 4: In the same vein, {x\%}={456}.

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

{100\%}={585}(1).

{x\%}={456}(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{585}{456}

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

\frac{x\%}{100\%}=\frac{456}{585}

\Rightarrow{x} = {77.95\%}

Therefore, {456} is {77.95\%} of {585}.

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Solution for 585 is what percent of 456:

585:456*100 =

(585*100):456 =

58500:456 = 128.29

Now we have: 585 is what percent of 456 = 128.29

Question: 585 is what percent of 456?

Percentage solution with steps:

Step 1: We make the assumption that 456 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\%}={456}.

Step 4: In the same vein, {x\%}={585}.

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

{100\%}={456}(1).

{x\%}={585}(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{456}{585}

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

\frac{x\%}{100\%}=\frac{585}{456}

\Rightarrow{x} = {128.29\%}

Therefore, {585} is {128.29\%} of {456}.