770.5 is what percent of 885 - 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 885 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 885, so we can write it down as 100%=885.
4. We know, that x% equals 770.5 of the output value, so we can write it down as x%=770.5.
5. Now we have two simple equations:
1) 100%=885
2) x%=770.5
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%=885/770.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 770.5 is what percent of 885

100%/x%=885/770.5
(100/x)*x=(885/770.5)*x       - we multiply both sides of the equation by x
100=1.1486048020766*x       - we divide both sides of the equation by (1.1486048020766) to get x
100/1.1486048020766=x
87.062146892655=x
x=87.062146892655

now we have:
770.5 is 87.062146892655% of 885