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Solution for 122 is what percent of 75:

122:75*100 =

(122*100):75 =

12200:75 = 162.67

Now we have: 122 is what percent of 75 = 162.67

Question: 122 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 75 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\%}={75}.

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

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

{100\%}={75}(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{75}{122}

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

\frac{x\%}{100\%}=\frac{122}{75}

\Rightarrow{x} = {162.67\%}

Therefore, {122} is {162.67\%} of {75}.

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Solution for 75 is what percent of 122:

75:122*100 =

(75*100):122 =

7500:122 = 61.48

Now we have: 75 is what percent of 122 = 61.48

Question: 75 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\%}={75}.

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

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

{x\%}={75}(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}{75}

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

\frac{x\%}{100\%}=\frac{75}{122}

\Rightarrow{x} = {61.48\%}

Therefore, {75} is {61.48\%} of {122}.