#### Solution for 3.4 is what percent of 122:

3.4:122*100 =

(3.4*100):122 =

340:122 = 2.7868852459016

Now we have: 3.4 is what percent of 122 = 2.7868852459016

Question: 3.4 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\%}={3.4}.

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

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

{x\%}={3.4}(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}{3.4}

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

\frac{x\%}{100\%}=\frac{3.4}{122}

\Rightarrow{x} = {2.7868852459016\%}

Therefore, {3.4} is {2.7868852459016\%} of {122}.

#### Solution for 122 is what percent of 3.4:

122:3.4*100 =

(122*100):3.4 =

12200:3.4 = 3588.2352941176

Now we have: 122 is what percent of 3.4 = 3588.2352941176

Question: 122 is what percent of 3.4?

Percentage solution with steps:

Step 1: We make the assumption that 3.4 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\%}={3.4}.

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

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

{100\%}={3.4}(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{3.4}{122}

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

\frac{x\%}{100\%}=\frac{122}{3.4}

\Rightarrow{x} = {3588.2352941176\%}

Therefore, {122} is {3588.2352941176\%} of {3.4}.

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