#### Solution for 49 is what percent of 101:

49:101*100 =

(49*100):101 =

4900:101 = 48.51

Now we have: 49 is what percent of 101 = 48.51

Question: 49 is what percent of 101?

Percentage solution with steps:

Step 1: We make the assumption that 101 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\%}={101}.

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

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

{100\%}={101}(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{101}{49}

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

\frac{x\%}{100\%}=\frac{49}{101}

\Rightarrow{x} = {48.51\%}

Therefore, {49} is {48.51\%} of {101}.

#### Solution for 101 is what percent of 49:

101:49*100 =

(101*100):49 =

10100:49 = 206.12

Now we have: 101 is what percent of 49 = 206.12

Question: 101 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\%}={101}.

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

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

{x\%}={101}(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}{101}

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

\frac{x\%}{100\%}=\frac{101}{49}

\Rightarrow{x} = {206.12\%}

Therefore, {101} is {206.12\%} of {49}.

Calculation Samples