Recalculating an interest amount with a lower rate

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I have a number of accounts which were over charged interest at a rate of $22.5\%$ (most accounts, some are $21.5\%,19.5\%$).

All these accounts needed to be charged $18.5\%$. I have the total interest paid to date figures and need to reverse the overcharged amounts.

I am calculating this in Excel and am not sure if I have done it correctly.

I will use one account as an example:

Total interest charged = 1591.48 @ 22.5%. Should have been 18.5%
My formula is 1591.48*0.185/0.225
The result is 1308.55 which gives a difference of 282.93.

Could someone please tell me if this is correct. Thanks in advance