17.8 is what percent of 780 - 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 780 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 780, so we can write it down as 100%=780.
4. We know, that x% equals 17.8 of the output value, so we can write it down as x%=17.8.
5. Now we have two simple equations:
1) 100%=780
2) x%=17.8
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%=780/17.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.8 is what percent of 780

100%/x%=780/17.8
(100/x)*x=(780/17.8)*x       - we multiply both sides of the equation by x
100=43.820224719101*x       - we divide both sides of the equation by (43.820224719101) to get x
100/43.820224719101=x
2.2820512820513=x
x=2.2820512820513

now we have:
17.8 is 2.2820512820513% of 780