34.6 is what percent of 95.4 - 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 95.4 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 95.4, so we can write it down as 100%=95.4.
4. We know, that x% equals 34.6 of the output value, so we can write it down as x%=34.6.
5. Now we have two simple equations:
1) 100%=95.4
2) x%=34.6
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%=95.4/34.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.6 is what percent of 95.4

100%/x%=95.4/34.6
(100/x)*x=(95.4/34.6)*x       - we multiply both sides of the equation by x
100=2.757225433526*x       - we divide both sides of the equation by (2.757225433526) to get x
100/2.757225433526=x
36.268343815514=x
x=36.268343815514

now we have:
34.6 is 36.268343815514% of 95.4