MATH SOLVE

2 months ago

Q:
# 37 is what percent of 148?

Accepted Solution

A:

25% Solution for 37 is what percent of 148:37:148*100 =(37*100):148 =3700:148 = 25Now we have: 37 is what percent of 148 = 25Question: 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 = 400Now we have: 148 is what percent of 37 = 400Question: 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$\frac{x\%}{100\%}=\frac{148}{37}$