#### Solution for 122 is what percent of 1000:

122:1000*100 =

(122*100):1000 =

12200:1000 = 12.2

Now we have: 122 is what percent of 1000 = 12.2

Question: 122 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={1000}.

Step 4: In the same vein, {x\%}={122}.

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

{100\%}={1000}(1).

{x\%}={122}(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{1000}{122}

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

\frac{x\%}{100\%}=\frac{122}{1000}

\Rightarrow{x} = {12.2\%}

Therefore, {122} is {12.2\%} of {1000}.

#### Solution for 1000 is what percent of 122:

1000:122*100 =

(1000*100):122 =

100000:122 = 819.67

Now we have: 1000 is what percent of 122 = 819.67

Question: 1000 is what percent of 122?

Percentage solution with steps:

Step 1: We make the assumption that 122 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\%}={122}.

Step 4: In the same vein, {x\%}={1000}.

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

{100\%}={122}(1).

{x\%}={1000}(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{122}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{122}

\Rightarrow{x} = {819.67\%}

Therefore, {1000} is {819.67\%} of {122}.

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