964.84 is what percent of 1312.66 - 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 1312.66 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 1312.66, so we can write it down as 100%=1312.66.
4. We know, that x% equals 964.84 of the output value, so we can write it down as x%=964.84.
5. Now we have two simple equations:
1) 100%=1312.66
2) x%=964.84
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%=1312.66/964.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 964.84 is what percent of 1312.66

100%/x%=1312.66/964.84
(100/x)*x=(1312.66/964.84)*x       - we multiply both sides of the equation by x
100=1.3604950043531*x       - we divide both sides of the equation by (1.3604950043531) to get x
100/1.3604950043531=x
73.502658723508=x
x=73.502658723508

now we have:
964.84 is 73.502658723508% of 1312.66