969.05 is what percent of 980 - 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 980 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 980, so we can write it down as 100%=980.
4. We know, that x% equals 969.05 of the output value, so we can write it down as x%=969.05.
5. Now we have two simple equations:
1) 100%=980
2) x%=969.05
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%=980/969.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 969.05 is what percent of 980

100%/x%=980/969.05
(100/x)*x=(980/969.05)*x       - we multiply both sides of the equation by x
100=1.0112997265363*x       - we divide both sides of the equation by (1.0112997265363) to get x
100/1.0112997265363=x
98.882653061224=x
x=98.882653061224

now we have:
969.05 is 98.882653061224% of 980