417.48 is what percent of 956.36 - 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 956.36 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 956.36, so we can write it down as 100%=956.36.
4. We know, that x% equals 417.48 of the output value, so we can write it down as x%=417.48.
5. Now we have two simple equations:
1) 100%=956.36
2) x%=417.48
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%=956.36/417.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 417.48 is what percent of 956.36

100%/x%=956.36/417.48
(100/x)*x=(956.36/417.48)*x       - we multiply both sides of the equation by x
100=2.2907923732873*x       - we divide both sides of the equation by (2.2907923732873) to get x
100/2.2907923732873=x
43.653017692082=x
x=43.653017692082

now we have:
417.48 is 43.653017692082% of 956.36