27.78 is what percent of 170.4 - 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 170.4 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 170.4, so we can write it down as 100%=170.4.
4. We know, that x% equals 27.78 of the output value, so we can write it down as x%=27.78.
5. Now we have two simple equations:
1) 100%=170.4
2) x%=27.78
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%=170.4/27.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.78 is what percent of 170.4

100%/x%=170.4/27.78
(100/x)*x=(170.4/27.78)*x       - we multiply both sides of the equation by x
100=6.133909287257*x       - we divide both sides of the equation by (6.133909287257) to get x
100/6.133909287257=x
16.302816901408=x
x=16.302816901408

now we have:
27.78 is 16.302816901408% of 170.4