Find the percentage?

[math 2019]

The new price is $50 it was reduced by 30% to get to $50, what was the old price without sale?
I can't just get my head around it Can anyone help me?
Thanks

 

[HallsofIvy]

30% of a number is $\displaystyle \frac{30}{100}= 0.30$ times that number. 30% of "X" is 0.30X. Taking 30% off X is X- 0.30X= (1- 0.30)X= 0.70X. That is equal to $50 so 0.70X= 50. To find X, divide by 0.70: $\displaystyle X= \frac{50}{0.70}$