35.4 is what percent of 36 - 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 36 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 36, so we can write it down as 100%=36.
4. We know, that x% equals 35.4 of the output value, so we can write it down as x%=35.4.
5. Now we have two simple equations:
1) 100%=36
2) x%=35.4
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%=36/35.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.4 is what percent of 36

100%/x%=36/35.4
(100/x)*x=(36/35.4)*x       - we multiply both sides of the equation by x
100=1.0169491525424*x       - we divide both sides of the equation by (1.0169491525424) to get x
100/1.0169491525424=x
98.333333333333=x
x=98.333333333333

now we have:
35.4 is 98.333333333333% of 36