20 is what percent of 17.78 - 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 17.78 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 17.78, so we can write it down as 100%=17.78.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=17.78
2) x%=20
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%=17.78/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 17.78

100%/x%=17.78/20
(100/x)*x=(17.78/20)*x       - we multiply both sides of the equation by x
100=0.889*x       - we divide both sides of the equation by (0.889) to get x
100/0.889=x
112.48593925759=x
x=112.48593925759

now we have:
20 is 112.48593925759% of 17.78