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Solution for 829 is what percent of 48:

829:48*100 =

(829*100):48 =

82900:48 = 1727.08

Now we have: 829 is what percent of 48 = 1727.08

Question: 829 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\%}={829}.

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

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

{x\%}={829}(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}{829}

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

\frac{x\%}{100\%}=\frac{829}{48}

\Rightarrow{x} = {1727.08\%}

Therefore, {829} is {1727.08\%} of {48}.

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Solution for 48 is what percent of 829:

48:829*100 =

(48*100):829 =

4800:829 = 5.79

Now we have: 48 is what percent of 829 = 5.79

Question: 48 is what percent of 829?

Percentage solution with steps:

Step 1: We make the assumption that 829 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\%}={829}.

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

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

{100\%}={829}(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{829}{48}

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

\frac{x\%}{100\%}=\frac{48}{829}

\Rightarrow{x} = {5.79\%}

Therefore, {48} is {5.79\%} of {829}.