The problem states that $M$ is 150% of $N$. We need to find what percentage $N$ is of $M+N$.

AlgebraPercentageRatioEquation Solving
2025/4/23

1. Problem Description

The problem states that MM is 150% of NN. We need to find what percentage NN is of M+NM+N.

2. Solution Steps

First, we can express the given information as an equation:
M=150%×NM = 150\% \times N
M=150100×NM = \frac{150}{100} \times N
M=32NM = \frac{3}{2}N
Next, we need to find the value of M+NM+N:
M+N=32N+N=32N+22N=52NM+N = \frac{3}{2}N + N = \frac{3}{2}N + \frac{2}{2}N = \frac{5}{2}N
Now, we need to determine what percentage NN is of M+NM+N:
Percentage =NM+N×100%= \frac{N}{M+N} \times 100\%
Percentage =N52N×100%= \frac{N}{\frac{5}{2}N} \times 100\%
Percentage =152×100%= \frac{1}{\frac{5}{2}} \times 100\%
Percentage =25×100%= \frac{2}{5} \times 100\%
Percentage =0.4×100%= 0.4 \times 100\%
Percentage =40%= 40\%

3. Final Answer

40%

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