#### Solution for 261 is what percent of 400:

261:400*100 =

(261*100):400 =

26100:400 = 65.25

Now we have: 261 is what percent of 400 = 65.25

Question: 261 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={261}.

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

{100\%}={400}(1).

{x\%}={261}(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{400}{261}

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

\frac{x\%}{100\%}=\frac{261}{400}

\Rightarrow{x} = {65.25\%}

Therefore, {261} is {65.25\%} of {400}.

#### Solution for 400 is what percent of 261:

400:261*100 =

(400*100):261 =

40000:261 = 153.26

Now we have: 400 is what percent of 261 = 153.26

Question: 400 is what percent of 261?

Percentage solution with steps:

Step 1: We make the assumption that 261 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\%}={261}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={261}(1).

{x\%}={400}(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{261}{400}

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

\frac{x\%}{100\%}=\frac{400}{261}

\Rightarrow{x} = {153.26\%}

Therefore, {400} is {153.26\%} of {261}.

Calculation Samples