1300.08 is what percent of 1593.66 - 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 1593.66 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 1593.66, so we can write it down as 100%=1593.66.
4. We know, that x% equals 1300.08 of the output value, so we can write it down as x%=1300.08.
5. Now we have two simple equations:
1) 100%=1593.66
2) x%=1300.08
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%=1593.66/1300.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1300.08 is what percent of 1593.66

100%/x%=1593.66/1300.08
(100/x)*x=(1593.66/1300.08)*x       - we multiply both sides of the equation by x
100=1.2258168728078*x       - we divide both sides of the equation by (1.2258168728078) to get x
100/1.2258168728078=x
81.578253830805=x
x=81.578253830805

now we have:
1300.08 is 81.578253830805% of 1593.66