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Solution for 59 is what percent of 49:

59:49*100 =

(59*100):49 =

5900:49 = 120.41

Now we have: 59 is what percent of 49 = 120.41

Question: 59 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={59}.

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

{100\%}={49}(1).

{x\%}={59}(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{49}{59}

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

\frac{x\%}{100\%}=\frac{59}{49}

\Rightarrow{x} = {120.41\%}

Therefore, {59} is {120.41\%} of {49}.

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Solution for 49 is what percent of 59:

49:59*100 =

(49*100):59 =

4900:59 = 83.05

Now we have: 49 is what percent of 59 = 83.05

Question: 49 is what percent of 59?

Percentage solution with steps:

Step 1: We make the assumption that 59 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\%}={59}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={59}(1).

{x\%}={49}(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{59}{49}

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

\frac{x\%}{100\%}=\frac{49}{59}

\Rightarrow{x} = {83.05\%}

Therefore, {49} is {83.05\%} of {59}.