13.3 is what percent of 171.8 - 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 171.8 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 171.8, so we can write it down as 100%=171.8.
4. We know, that x% equals 13.3 of the output value, so we can write it down as x%=13.3.
5. Now we have two simple equations:
1) 100%=171.8
2) x%=13.3
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%=171.8/13.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.3 is what percent of 171.8

100%/x%=171.8/13.3
(100/x)*x=(171.8/13.3)*x       - we multiply both sides of the equation by x
100=12.917293233083*x       - we divide both sides of the equation by (12.917293233083) to get x
100/12.917293233083=x
7.7415599534342=x
x=7.7415599534342

now we have:
13.3 is 7.7415599534342% of 171.8