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Solution for 566 is what percent of 900:

566:900*100 =

(566*100):900 =

56600:900 = 62.89

Now we have: 566 is what percent of 900 = 62.89

Question: 566 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

Step 4: In the same vein, {x\%}={566}.

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

{100\%}={900}(1).

{x\%}={566}(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{900}{566}

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

\frac{x\%}{100\%}=\frac{566}{900}

\Rightarrow{x} = {62.89\%}

Therefore, {566} is {62.89\%} of {900}.

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• 566 is what percent of 100 = 566

Solution for 900 is what percent of 566:

900:566*100 =

(900*100):566 =

90000:566 = 159.01

Now we have: 900 is what percent of 566 = 159.01

Question: 900 is what percent of 566?

Percentage solution with steps:

Step 1: We make the assumption that 566 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\%}={566}.

Step 4: In the same vein, {x\%}={900}.

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

{100\%}={566}(1).

{x\%}={900}(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{566}{900}

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

\frac{x\%}{100\%}=\frac{900}{566}

\Rightarrow{x} = {159.01\%}

Therefore, {900} is {159.01\%} of {566}.