The previous owner of the parcel probably challenged the market value based on a recent, lower purchase price.
Property taxes in Cuyahoga County are determined by the fiscal officer's assessed value and the community tax rate based on levies that are passed by taxpayers.
You can find the community rates listed here: https://treasurer.cuyahogacounty.us/en-us/communit...
This is a calculator for taxes by community. I don't know how reliable it is because there are multiple taxing districts in a few municipalities that significantly affect the rate. https://smartasset.com/taxes/ohio-property-tax-cal...
As a rule, taxes are assessed based on the market value of the parcel, which is most accurately determined by the most recent purchase price. Every three years, the fiscal officer analyzes the aggregate sales for a neighborhood and applies a percentage rate change based on the sales trend of an area. For example, I bought a house for $6,200 in 2015, and the following year the market value of the parcel dropped to $5,800.
If the purchase price of the house is lower than the market value on the tax duplicate, the owner can challenge the tax valuation at the Board of Revision and have it lowered immediately.
It should be noted that the fiscal officer doesn't do a very good job of actually appraising each parcel individually, so they won't automatically lower the value based on the new purchase price. That $6,200 house above was valued at $85,000 before I bought it.