#### Solution for 180 is what percent of 260:

180:260*100 =

(180*100):260 =

18000:260 = 69.23

Now we have: 180 is what percent of 260 = 69.23

Question: 180 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\%}={180}.

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

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

{x\%}={180}(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}{180}

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

\frac{x\%}{100\%}=\frac{180}{260}

\Rightarrow{x} = {69.23\%}

Therefore, {180} is {69.23\%} of {260}.

#### Solution for 260 is what percent of 180:

260:180*100 =

(260*100):180 =

26000:180 = 144.44

Now we have: 260 is what percent of 180 = 144.44

Question: 260 is what percent of 180?

Percentage solution with steps:

Step 1: We make the assumption that 180 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\%}={180}.

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

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

{100\%}={180}(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{180}{260}

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

\frac{x\%}{100\%}=\frac{260}{180}

\Rightarrow{x} = {144.44\%}

Therefore, {260} is {144.44\%} of {180}.

Calculation Samples