#### Solution for 61 is what percent of 222:

61:222*100 =

(61*100):222 =

6100:222 = 27.48

Now we have: 61 is what percent of 222 = 27.48

Question: 61 is what percent of 222?

Percentage solution with steps:

Step 1: We make the assumption that 222 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\%}={222}.

Step 4: In the same vein, {x\%}={61}.

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

{100\%}={222}(1).

{x\%}={61}(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{222}{61}

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

\frac{x\%}{100\%}=\frac{61}{222}

\Rightarrow{x} = {27.48\%}

Therefore, {61} is {27.48\%} of {222}.

#### Solution for 222 is what percent of 61:

222:61*100 =

(222*100):61 =

22200:61 = 363.93

Now we have: 222 is what percent of 61 = 363.93

Question: 222 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

Step 4: In the same vein, {x\%}={222}.

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

{100\%}={61}(1).

{x\%}={222}(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{61}{222}

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

\frac{x\%}{100\%}=\frac{222}{61}

\Rightarrow{x} = {363.93\%}

Therefore, {222} is {363.93\%} of {61}.

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