Solution for 245 is what percent of 400:
245:400*100 =
(245*100):400 =
24500:400 = 61.25
Now we have: 245 is what percent of 400 = 61.25
Question: 245 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\%}={245}.
Step 5: This gives us a pair of simple equations:
{100\%}={400}(1).
{x\%}={245}(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}{245}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{245}{400}
\Rightarrow{x} = {61.25\%}
Therefore, {245} is {61.25\%} of {400}.
Solution for 400 is what percent of 245:
400:245*100 =
(400*100):245 =
40000:245 = 163.27
Now we have: 400 is what percent of 245 = 163.27
Question: 400 is what percent of 245?
Percentage solution with steps:
Step 1: We make the assumption that 245 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\%}={245}.
Step 4: In the same vein, {x\%}={400}.
Step 5: This gives us a pair of simple equations:
{100\%}={245}(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{245}{400}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{400}{245}
\Rightarrow{x} = {163.27\%}
Therefore, {400} is {163.27\%} of {245}.