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Solution for 1205 is what percent of 75:

1205:75*100 =

(1205*100):75 =

120500:75 = 1606.67

Now we have: 1205 is what percent of 75 = 1606.67

Question: 1205 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\%}={1205}.

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

{100\%}={75}(1).

{x\%}={1205}(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}{1205}

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

\frac{x\%}{100\%}=\frac{1205}{75}

\Rightarrow{x} = {1606.67\%}

Therefore, {1205} is {1606.67\%} of {75}.

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• 1205 is what percent of 100 = 1205

Solution for 75 is what percent of 1205:

75:1205*100 =

(75*100):1205 =

7500:1205 = 6.22

Now we have: 75 is what percent of 1205 = 6.22

Question: 75 is what percent of 1205?

Percentage solution with steps:

Step 1: We make the assumption that 1205 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\%}={1205}.

Step 4: In the same vein, {x\%}={75}.

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

{100\%}={1205}(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{1205}{75}

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

\frac{x\%}{100\%}=\frac{75}{1205}

\Rightarrow{x} = {6.22\%}

Therefore, {75} is {6.22\%} of {1205}.