#### Solution for 10 is what percent of 220.:

10:220.*100 =

(10*100):220. =

1000:220. = 4.5454545454545

Now we have: 10 is what percent of 220. = 4.5454545454545

Question: 10 is what percent of 220.?

Percentage solution with steps:

Step 1: We make the assumption that 220. 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\%}={220.}.

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

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

{100\%}={220.}(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{220.}{10}

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

\frac{x\%}{100\%}=\frac{10}{220.}

\Rightarrow{x} = {4.5454545454545\%}

Therefore, {10} is {4.5454545454545\%} of {220.}.

#### Solution for 220. is what percent of 10:

220.:10*100 =

(220.*100):10 =

22000:10 = 2200

Now we have: 220. is what percent of 10 = 2200

Question: 220. 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\%}={220.}.

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

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

{x\%}={220.}(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}{220.}

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

\frac{x\%}{100\%}=\frac{220.}{10}

\Rightarrow{x} = {2200\%}

Therefore, {220.} is {2200\%} of {10}.

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