1298.75 is what percent of 4295 - 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 4295 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 4295, so we can write it down as 100%=4295.
4. We know, that x% equals 1298.75 of the output value, so we can write it down as x%=1298.75.
5. Now we have two simple equations:
1) 100%=4295
2) x%=1298.75
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%=4295/1298.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1298.75 is what percent of 4295

100%/x%=4295/1298.75
(100/x)*x=(4295/1298.75)*x       - we multiply both sides of the equation by x
100=3.3070259865255*x       - we divide both sides of the equation by (3.3070259865255) to get x
100/3.3070259865255=x
30.238649592549=x
x=30.238649592549

now we have:
1298.75 is 30.238649592549% of 4295