115.19 is what percent of 149.65 - 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 149.65 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 149.65, so we can write it down as 100%=149.65.
4. We know, that x% equals 115.19 of the output value, so we can write it down as x%=115.19.
5. Now we have two simple equations:
1) 100%=149.65
2) x%=115.19
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%=149.65/115.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.19 is what percent of 149.65

100%/x%=149.65/115.19
(100/x)*x=(149.65/115.19)*x       - we multiply both sides of the equation by x
100=1.2991579130133*x       - we divide both sides of the equation by (1.2991579130133) to get x
100/1.2991579130133=x
76.972936852656=x
x=76.972936852656

now we have:
115.19 is 76.972936852656% of 149.65