25%
Solution for 37 is what percent of 148:
37:148*100 =
(37*100):148 =
3700:148 = 25
Now we have: 37 is what percent of 148 = 25
Question: 37 is what percent of 148?
Percentage solution with steps:
Step 1: We make the assumption that 148 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 $100\%=148$.
Step 4: In the same vein, $x\%=37$.
Step 5: This gives us a pair of simple equations:
$100\%=148(1)$.
$x\%=37(2)$.
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
$\frac{100\%}{x\%}=\frac{148}{37}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{37}{148}$
$\Rightarrow x=25\%$
Therefore, $37$ is $25\%$ of $148$.
148
is what percent of
37
400
%
Solution for 148 is what percent of 37:
148:37*100 =
(148*100):37 =
14800:37 = 400
Now we have: 148 is what percent of 37 = 400
Question: 148 is what percent of 37?
Percentage solution with steps:
Step 1: We make the assumption that 37 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 $100\%=37$.
Step 4: In the same vein, $x\%=148$.
Step 5: This gives us a pair of simple equations:
$100\%=37(1)$.
$x\%=148(2)$.
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
$\frac{100\%}{x\%}=\frac{37}{148}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{148}{37}$