263.51 is what percent of 3000 - 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 3000 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 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 263.51 of the output value, so we can write it down as x%=263.51.
5. Now we have two simple equations:
1) 100%=3000
2) x%=263.51
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%=3000/263.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 263.51 is what percent of 3000

100%/x%=3000/263.51
(100/x)*x=(3000/263.51)*x       - we multiply both sides of the equation by x
100=11.384767181511*x       - we divide both sides of the equation by (11.384767181511) to get x
100/11.384767181511=x
8.7836666666667=x
x=8.7836666666667

now we have:
263.51 is 8.7836666666667% of 3000