495.46 is what percent of 4195 - 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 4195 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 4195, so we can write it down as 100%=4195.
4. We know, that x% equals 495.46 of the output value, so we can write it down as x%=495.46.
5. Now we have two simple equations:
1) 100%=4195
2) x%=495.46
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%=4195/495.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.46 is what percent of 4195

100%/x%=4195/495.46
(100/x)*x=(4195/495.46)*x       - we multiply both sides of the equation by x
100=8.4668792637145*x       - we divide both sides of the equation by (8.4668792637145) to get x
100/8.4668792637145=x
11.810727056019=x
x=11.810727056019

now we have:
495.46 is 11.810727056019% of 4195