964.93 is what percent of 986.71 - 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 986.71 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 986.71, so we can write it down as 100%=986.71.
4. We know, that x% equals 964.93 of the output value, so we can write it down as x%=964.93.
5. Now we have two simple equations:
1) 100%=986.71
2) x%=964.93
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%=986.71/964.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 964.93 is what percent of 986.71

100%/x%=986.71/964.93
(100/x)*x=(986.71/964.93)*x       - we multiply both sides of the equation by x
100=1.0225715855036*x       - we divide both sides of the equation by (1.0225715855036) to get x
100/1.0225715855036=x
97.792664511356=x
x=97.792664511356

now we have:
964.93 is 97.792664511356% of 986.71