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Solution for 446 is what percent of 48:

446:48*100 =

(446*100):48 =

44600:48 = 929.17

Now we have: 446 is what percent of 48 = 929.17

Question: 446 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

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

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

{100\%}={48}(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{48}{446}

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

\frac{x\%}{100\%}=\frac{446}{48}

\Rightarrow{x} = {929.17\%}

Therefore, {446} is {929.17\%} of {48}.

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Solution for 48 is what percent of 446:

48:446*100 =

(48*100):446 =

4800:446 = 10.76

Now we have: 48 is what percent of 446 = 10.76

Question: 48 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\%}={48}.

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

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

{x\%}={48}(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}{48}

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

\frac{x\%}{100\%}=\frac{48}{446}

\Rightarrow{x} = {10.76\%}

Therefore, {48} is {10.76\%} of {446}.