43.45 is what percent of 430.1 - 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 430.1 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 430.1, so we can write it down as 100%=430.1.
4. We know, that x% equals 43.45 of the output value, so we can write it down as x%=43.45.
5. Now we have two simple equations:
1) 100%=430.1
2) x%=43.45
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%=430.1/43.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.45 is what percent of 430.1

100%/x%=430.1/43.45
(100/x)*x=(430.1/43.45)*x       - we multiply both sides of the equation by x
100=9.8987341772152*x       - we divide both sides of the equation by (9.8987341772152) to get x
100/9.8987341772152=x
10.102301790281=x
x=10.102301790281

now we have:
43.45 is 10.102301790281% of 430.1