40.26 is what percent of 79 - 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 79 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 79, so we can write it down as 100%=79.
4. We know, that x% equals 40.26 of the output value, so we can write it down as x%=40.26.
5. Now we have two simple equations:
1) 100%=79
2) x%=40.26
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%=79/40.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.26 is what percent of 79

100%/x%=79/40.26
(100/x)*x=(79/40.26)*x       - we multiply both sides of the equation by x
100=1.9622454048684*x       - we divide both sides of the equation by (1.9622454048684) to get x
100/1.9622454048684=x
50.962025316456=x
x=50.962025316456

now we have:
40.26 is 50.962025316456% of 79