#### Solution for 10 is what percent of 22:

10:22*100 =

( 10*100):22 =

1000:22 = 45.45

Now we have: 10 is what percent of 22 = 45.45

Question: 10 is what percent of 22?

Percentage solution with steps:

Step 1: We make the assumption that 22 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\%}={22}.

Step 4: In the same vein, {x\%}={ 10}.

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

{100\%}={22}(1).

{x\%}={ 10}(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{22}{ 10}

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

\frac{x\%}{100\%}=\frac{ 10}{22}

\Rightarrow{x} = {45.45\%}

Therefore, { 10} is {45.45\%} of {22}.

#### Solution for 22 is what percent of 10:

22: 10*100 =

(22*100): 10 =

2200: 10 = 220

Now we have: 22 is what percent of 10 = 220

Question: 22 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={ 10}.

Step 4: In the same vein, {x\%}={22}.

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

{100\%}={ 10}(1).

{x\%}={22}(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{ 10}{22}

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

\frac{x\%}{100\%}=\frac{22}{ 10}

\Rightarrow{x} = {220\%}

Therefore, {22} is {220\%} of { 10}.

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