290.25 is what percent of 1964 - 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 1964 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 1964, so we can write it down as 100%=1964.
4. We know, that x% equals 290.25 of the output value, so we can write it down as x%=290.25.
5. Now we have two simple equations:
1) 100%=1964
2) x%=290.25
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%=1964/290.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 290.25 is what percent of 1964

100%/x%=1964/290.25
(100/x)*x=(1964/290.25)*x       - we multiply both sides of the equation by x
100=6.7665805340224*x       - we divide both sides of the equation by (6.7665805340224) to get x
100/6.7665805340224=x
14.778513238289=x
x=14.778513238289

now we have:
290.25 is 14.778513238289% of 1964