109.4 is what percent of 1.46 - 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 1.46 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 1.46, so we can write it down as 100%=1.46.
4. We know, that x% equals 109.4 of the output value, so we can write it down as x%=109.4.
5. Now we have two simple equations:
1) 100%=1.46
2) x%=109.4
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%=1.46/109.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.4 is what percent of 1.46

100%/x%=1.46/109.4
(100/x)*x=(1.46/109.4)*x       - we multiply both sides of the equation by x
100=0.013345521023766*x       - we divide both sides of the equation by (0.013345521023766) to get x
100/0.013345521023766=x
7493.1506849315=x
x=7493.1506849315

now we have:
109.4 is 7493.1506849315% of 1.46