#### Solution for 74 is what percent of 260:

74:260*100 =

(74*100):260 =

7400:260 = 28.46

Now we have: 74 is what percent of 260 = 28.46

Question: 74 is what percent of 260?

Percentage solution with steps:

Step 1: We make the assumption that 260 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\%}={260}.

Step 4: In the same vein, {x\%}={74}.

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

{100\%}={260}(1).

{x\%}={74}(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{260}{74}

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

\frac{x\%}{100\%}=\frac{74}{260}

\Rightarrow{x} = {28.46\%}

Therefore, {74} is {28.46\%} of {260}.

#### Solution for 260 is what percent of 74:

260:74*100 =

(260*100):74 =

26000:74 = 351.35

Now we have: 260 is what percent of 74 = 351.35

Question: 260 is what percent of 74?

Percentage solution with steps:

Step 1: We make the assumption that 74 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\%}={74}.

Step 4: In the same vein, {x\%}={260}.

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

{100\%}={74}(1).

{x\%}={260}(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{74}{260}

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

\frac{x\%}{100\%}=\frac{260}{74}

\Rightarrow{x} = {351.35\%}

Therefore, {260} is {351.35\%} of {74}.

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