#### Solution for 48 is what percent of 279:

48:279*100 =

(48*100):279 =

4800:279 = 17.2

Now we have: 48 is what percent of 279 = 17.2

Question: 48 is what percent of 279?

Percentage solution with steps:

Step 1: We make the assumption that 279 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\%}={279}.

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

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

{100\%}={279}(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{279}{48}

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

\frac{x\%}{100\%}=\frac{48}{279}

\Rightarrow{x} = {17.2\%}

Therefore, {48} is {17.2\%} of {279}.

#### Solution for 279 is what percent of 48:

279:48*100 =

(279*100):48 =

27900:48 = 581.25

Now we have: 279 is what percent of 48 = 581.25

Question: 279 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\%}={279}.

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

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

{x\%}={279}(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}{279}

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

\frac{x\%}{100\%}=\frac{279}{48}

\Rightarrow{x} = {581.25\%}

Therefore, {279} is {581.25\%} of {48}.

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