17.8 is what percent of 31.8 - 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 31.8 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 31.8, so we can write it down as 100%=31.8.
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%=31.8
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%=31.8/17.8
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 31.8

100%/x%=31.8/17.8
(100/x)*x=(31.8/17.8)*x       - we multiply both sides of the equation by x
100=1.7865168539326*x       - we divide both sides of the equation by (1.7865168539326) to get x
100/1.7865168539326=x
55.974842767296=x
x=55.974842767296

now we have:
17.8 is 55.974842767296% of 31.8