64.1 is what percent of 347.5 - 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 347.5 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 347.5, so we can write it down as 100%=347.5.
4. We know, that x% equals 64.1 of the output value, so we can write it down as x%=64.1.
5. Now we have two simple equations:
1) 100%=347.5
2) x%=64.1
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%=347.5/64.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.1 is what percent of 347.5

100%/x%=347.5/64.1
(100/x)*x=(347.5/64.1)*x       - we multiply both sides of the equation by x
100=5.4212168486739*x       - we divide both sides of the equation by (5.4212168486739) to get x
100/5.4212168486739=x
18.446043165468=x
x=18.446043165468

now we have:
64.1 is 18.446043165468% of 347.5