Solution for 37.5 is what percent of 360:
37.5:360*100 =
(37.5*100):360 =
3750:360 = 10.416666666667
Now we have: 37.5 is what percent of 360 = 10.416666666667
Question: 37.5 is what percent of 360?
Percentage solution with steps:
Step 1: We make the assumption that 360 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\%}={360}.
Step 4: In the same vein, {x\%}={37.5}.
Step 5: This gives us a pair of simple equations:
{100\%}={360}(1).
{x\%}={37.5}(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{360}{37.5}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{37.5}{360}
\Rightarrow{x} = {10.416666666667\%}
Therefore, {37.5} is {10.416666666667\%} of {360}.
Solution for 360 is what percent of 37.5:
360:37.5*100 =
(360*100):37.5 =
36000:37.5 = 960
Now we have: 360 is what percent of 37.5 = 960
Question: 360 is what percent of 37.5?
Percentage solution with steps:
Step 1: We make the assumption that 37.5 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\%}={37.5}.
Step 4: In the same vein, {x\%}={360}.
Step 5: This gives us a pair of simple equations:
{100\%}={37.5}(1).
{x\%}={360}(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{37.5}{360}
Step 7: Taking the inverse (or reciprocal) of both sides yields
\frac{x\%}{100\%}=\frac{360}{37.5}
\Rightarrow{x} = {960\%}
Therefore, {360} is {960\%} of {37.5}.