#### Solution for 446 is what percent of 522:

446:522*100 =

(446*100):522 =

44600:522 = 85.44

Now we have: 446 is what percent of 522 = 85.44

Question: 446 is what percent of 522?

Percentage solution with steps:

Step 1: We make the assumption that 522 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\%}={522}.

Step 4: In the same vein, {x\%}={446}.

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

{100\%}={522}(1).

{x\%}={446}(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{522}{446}

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

\frac{x\%}{100\%}=\frac{446}{522}

\Rightarrow{x} = {85.44\%}

Therefore, {446} is {85.44\%} of {522}.

#### Solution for 522 is what percent of 446:

522:446*100 =

(522*100):446 =

52200:446 = 117.04

Now we have: 522 is what percent of 446 = 117.04

Question: 522 is what percent of 446?

Percentage solution with steps:

Step 1: We make the assumption that 446 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\%}={446}.

Step 4: In the same vein, {x\%}={522}.

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

{100\%}={446}(1).

{x\%}={522}(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{446}{522}

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

\frac{x\%}{100\%}=\frac{522}{446}

\Rightarrow{x} = {117.04\%}

Therefore, {522} is {117.04\%} of {446}.

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