347.69 is what percent of 993.4 - 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 993.4 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 993.4, so we can write it down as 100%=993.4.
4. We know, that x% equals 347.69 of the output value, so we can write it down as x%=347.69.
5. Now we have two simple equations:
1) 100%=993.4
2) x%=347.69
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%=993.4/347.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 347.69 is what percent of 993.4

100%/x%=993.4/347.69
(100/x)*x=(993.4/347.69)*x       - we multiply both sides of the equation by x
100=2.8571428571429*x       - we divide both sides of the equation by (2.8571428571429) to get x
100/2.8571428571429=x
35=x
x=35

now we have:
347.69 is 35% of 993.4