796.29 is what percent of 896.29 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 896.29 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 896.29, so we can write it down as 100%=896.29.
4. We know, that x% equals 796.29 of the output value, so we can write it down as x%=796.29.
5. Now we have two simple equations:
1) 100%=896.29
2) x%=796.29
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=896.29/796.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 796.29 is what percent of 896.29

100%/x%=896.29/796.29
(100/x)*x=(896.29/796.29)*x       - we multiply both sides of the equation by x
100=1.1255823883259*x       - we divide both sides of the equation by (1.1255823883259) to get x
100/1.1255823883259=x
88.842896830267=x
x=88.842896830267

now we have:
796.29 is 88.842896830267% of 896.29