1301.25 is what percent of 1960 - 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 1960 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 1960, so we can write it down as 100%=1960.
4. We know, that x% equals 1301.25 of the output value, so we can write it down as x%=1301.25.
5. Now we have two simple equations:
1) 100%=1960
2) x%=1301.25
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%=1960/1301.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1301.25 is what percent of 1960

100%/x%=1960/1301.25
(100/x)*x=(1960/1301.25)*x       - we multiply both sides of the equation by x
100=1.5062439961575*x       - we divide both sides of the equation by (1.5062439961575) to get x
100/1.5062439961575=x
66.390306122449=x
x=66.390306122449

now we have:
1301.25 is 66.390306122449% of 1960