261.25 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 261.25 of the output value, so we can write it down as x%=261.25.
5. Now we have two simple equations:
1) 100%=350
2) x%=261.25
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%=350/261.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.25 is what percent of 350

100%/x%=350/261.25
(100/x)*x=(350/261.25)*x       - we multiply both sides of the equation by x
100=1.3397129186603*x       - we divide both sides of the equation by (1.3397129186603) to get x
100/1.3397129186603=x
74.642857142857=x
x=74.642857142857

now we have:
261.25 is 74.642857142857% of 350