#### Solution for 121 is what percent of 561:

121:561*100 =

(121*100):561 =

12100:561 = 21.57

Now we have: 121 is what percent of 561 = 21.57

Question: 121 is what percent of 561?

Percentage solution with steps:

Step 1: We make the assumption that 561 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\%}={561}.

Step 4: In the same vein, {x\%}={121}.

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

{100\%}={561}(1).

{x\%}={121}(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{561}{121}

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

\frac{x\%}{100\%}=\frac{121}{561}

\Rightarrow{x} = {21.57\%}

Therefore, {121} is {21.57\%} of {561}.

#### Solution for 561 is what percent of 121:

561:121*100 =

(561*100):121 =

56100:121 = 463.64

Now we have: 561 is what percent of 121 = 463.64

Question: 561 is what percent of 121?

Percentage solution with steps:

Step 1: We make the assumption that 121 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\%}={121}.

Step 4: In the same vein, {x\%}={561}.

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

{100\%}={121}(1).

{x\%}={561}(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{121}{561}

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

\frac{x\%}{100\%}=\frac{561}{121}

\Rightarrow{x} = {463.64\%}

Therefore, {561} is {463.64\%} of {121}.

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