965.59 is what percent of 1350 - 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 1350 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 1350, so we can write it down as 100%=1350.
4. We know, that x% equals 965.59 of the output value, so we can write it down as x%=965.59.
5. Now we have two simple equations:
1) 100%=1350
2) x%=965.59
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%=1350/965.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 965.59 is what percent of 1350

100%/x%=1350/965.59
(100/x)*x=(1350/965.59)*x       - we multiply both sides of the equation by x
100=1.3981089282201*x       - we divide both sides of the equation by (1.3981089282201) to get x
100/1.3981089282201=x
71.525185185185=x
x=71.525185185185

now we have:
965.59 is 71.525185185185% of 1350