#### Solution for 222.50 is what percent of 300:

222.50:300*100 =

(222.50*100):300 =

22250:300 = 74.166666666667

Now we have: 222.50 is what percent of 300 = 74.166666666667

Question: 222.50 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

Step 4: In the same vein, {x\%}={222.50}.

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

{100\%}={300}(1).

{x\%}={222.50}(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{300}{222.50}

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

\frac{x\%}{100\%}=\frac{222.50}{300}

\Rightarrow{x} = {74.166666666667\%}

Therefore, {222.50} is {74.166666666667\%} of {300}.

#### Solution for 300 is what percent of 222.50:

300:222.50*100 =

(300*100):222.50 =

30000:222.50 = 134.83146067416

Now we have: 300 is what percent of 222.50 = 134.83146067416

Question: 300 is what percent of 222.50?

Percentage solution with steps:

Step 1: We make the assumption that 222.50 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\%}={222.50}.

Step 4: In the same vein, {x\%}={300}.

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

{100\%}={222.50}(1).

{x\%}={300}(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{222.50}{300}

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

\frac{x\%}{100\%}=\frac{300}{222.50}

\Rightarrow{x} = {134.83146067416\%}

Therefore, {300} is {134.83146067416\%} of {222.50}.

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