677.5 is what percent of 890 - 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 890 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 890, so we can write it down as 100%=890.
4. We know, that x% equals 677.5 of the output value, so we can write it down as x%=677.5.
5. Now we have two simple equations:
1) 100%=890
2) x%=677.5
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%=890/677.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 677.5 is what percent of 890

100%/x%=890/677.5
(100/x)*x=(890/677.5)*x       - we multiply both sides of the equation by x
100=1.3136531365314*x       - we divide both sides of the equation by (1.3136531365314) to get x
100/1.3136531365314=x
76.123595505618=x
x=76.123595505618

now we have:
677.5 is 76.123595505618% of 890