43.18 is what percent of 476.44 - 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 476.44 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 476.44, so we can write it down as 100%=476.44.
4. We know, that x% equals 43.18 of the output value, so we can write it down as x%=43.18.
5. Now we have two simple equations:
1) 100%=476.44
2) x%=43.18
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%=476.44/43.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.18 is what percent of 476.44

100%/x%=476.44/43.18
(100/x)*x=(476.44/43.18)*x       - we multiply both sides of the equation by x
100=11.033811949977*x       - we divide both sides of the equation by (11.033811949977) to get x
100/11.033811949977=x
9.0630509612963=x
x=9.0630509612963

now we have:
43.18 is 9.0630509612963% of 476.44