260.64 is what percent of 298.97 - 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 298.97 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 298.97, so we can write it down as 100%=298.97.
4. We know, that x% equals 260.64 of the output value, so we can write it down as x%=260.64.
5. Now we have two simple equations:
1) 100%=298.97
2) x%=260.64
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%=298.97/260.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.64 is what percent of 298.97

100%/x%=298.97/260.64
(100/x)*x=(298.97/260.64)*x       - we multiply both sides of the equation by x
100=1.1470610804174*x       - we divide both sides of the equation by (1.1470610804174) to get x
100/1.1470610804174=x
87.1793156504=x
x=87.1793156504

now we have:
260.64 is 87.1793156504% of 298.97