378.6 is what percent of 2719.99 - 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 2719.99 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 2719.99, so we can write it down as 100%=2719.99.
4. We know, that x% equals 378.6 of the output value, so we can write it down as x%=378.6.
5. Now we have two simple equations:
1) 100%=2719.99
2) x%=378.6
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%=2719.99/378.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 378.6 is what percent of 2719.99

100%/x%=2719.99/378.6
(100/x)*x=(2719.99/378.6)*x       - we multiply both sides of the equation by x
100=7.1843370311675*x       - we divide both sides of the equation by (7.1843370311675) to get x
100/7.1843370311675=x
13.919168820474=x
x=13.919168820474

now we have:
378.6 is 13.919168820474% of 2719.99