Answer:
66%(technically 0.66 repeating)
Step-by-step explanation:
We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage times 69 equals 46:
[tex]percentage*69 = 46[/tex]
Now that we formed this equation, we can solve for the percentage as if it was x.
First lets simplfy:
[tex]percentage*69 = 46 -- > 69percentage = 46[/tex]
Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:
[tex]percentage = \frac{46}{69}[/tex]
=
[tex]percentage=0.66[/tex]
Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):
[tex]percentage = 0.66*100[/tex]
=
percentage = 66%
Hope this helps! :3