#### Solution for 222 is what percent of 100:

222:100*100 =

(222*100):100 =

22200:100 = 222

Now we have: 222 is what percent of 100 = 222

Question: 222 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

{100\%}={100}(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{100}{222}

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

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

\Rightarrow{x} = {222\%}

Therefore, {222} is {222\%} of {100}.

#### Solution for 100 is what percent of 222:

100:222*100 =

(100*100):222 =

10000:222 = 45.05

Now we have: 100 is what percent of 222 = 45.05

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {45.05\%}

Therefore, {100} is {45.05\%} of {222}.

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