260.93 is what percent of 1330 - 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 1330 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 1330, so we can write it down as 100%=1330.
4. We know, that x% equals 260.93 of the output value, so we can write it down as x%=260.93.
5. Now we have two simple equations:
1) 100%=1330
2) x%=260.93
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%=1330/260.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.93 is what percent of 1330

100%/x%=1330/260.93
(100/x)*x=(1330/260.93)*x       - we multiply both sides of the equation by x
100=5.0971524930058*x       - we divide both sides of the equation by (5.0971524930058) to get x
100/5.0971524930058=x
19.618796992481=x
x=19.618796992481

now we have:
260.93 is 19.618796992481% of 1330