260.02 is what percent of 1368.51 - 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 1368.51 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 1368.51, so we can write it down as 100%=1368.51.
4. We know, that x% equals 260.02 of the output value, so we can write it down as x%=260.02.
5. Now we have two simple equations:
1) 100%=1368.51
2) x%=260.02
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%=1368.51/260.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.02 is what percent of 1368.51

100%/x%=1368.51/260.02
(100/x)*x=(1368.51/260.02)*x       - we multiply both sides of the equation by x
100=5.2630951465272*x       - we divide both sides of the equation by (5.2630951465272) to get x
100/5.2630951465272=x
19.000226523737=x
x=19.000226523737

now we have:
260.02 is 19.000226523737% of 1368.51