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Solution for 312 is what percent of 48:

312:48*100 =

(312*100):48 =

31200:48 = 650

Now we have: 312 is what percent of 48 = 650

Question: 312 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\%}={312}.

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

{100\%}={48}(1).

{x\%}={312}(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}{312}

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

\frac{x\%}{100\%}=\frac{312}{48}

\Rightarrow{x} = {650\%}

Therefore, {312} is {650\%} of {48}.

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Solution for 48 is what percent of 312:

48:312*100 =

(48*100):312 =

4800:312 = 15.38

Now we have: 48 is what percent of 312 = 15.38

Question: 48 is what percent of 312?

Percentage solution with steps:

Step 1: We make the assumption that 312 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\%}={312}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={312}(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{312}{48}

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

\frac{x\%}{100\%}=\frac{48}{312}

\Rightarrow{x} = {15.38\%}

Therefore, {48} is {15.38\%} of {312}.