40.43 is what percent of 9.08 - 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 9.08 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 9.08, so we can write it down as 100%=9.08.
4. We know, that x% equals 40.43 of the output value, so we can write it down as x%=40.43.
5. Now we have two simple equations:
1) 100%=9.08
2) x%=40.43
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%=9.08/40.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.43 is what percent of 9.08

100%/x%=9.08/40.43
(100/x)*x=(9.08/40.43)*x       - we multiply both sides of the equation by x
100=0.22458570368538*x       - we divide both sides of the equation by (0.22458570368538) to get x
100/0.22458570368538=x
445.26431718062=x
x=445.26431718062

now we have:
40.43 is 445.26431718062% of 9.08