675.5 is what percent of 850.25 - 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 850.25 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 850.25, so we can write it down as 100%=850.25.
4. We know, that x% equals 675.5 of the output value, so we can write it down as x%=675.5.
5. Now we have two simple equations:
1) 100%=850.25
2) x%=675.5
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%=850.25/675.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 675.5 is what percent of 850.25

100%/x%=850.25/675.5
(100/x)*x=(850.25/675.5)*x       - we multiply both sides of the equation by x
100=1.2586972612879*x       - we divide both sides of the equation by (1.2586972612879) to get x
100/1.2586972612879=x
79.447221405469=x
x=79.447221405469

now we have:
675.5 is 79.447221405469% of 850.25