104.98 is what percent of 152.3 - 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 152.3 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 152.3, so we can write it down as 100%=152.3.
4. We know, that x% equals 104.98 of the output value, so we can write it down as x%=104.98.
5. Now we have two simple equations:
1) 100%=152.3
2) x%=104.98
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%=152.3/104.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.98 is what percent of 152.3

100%/x%=152.3/104.98
(100/x)*x=(152.3/104.98)*x       - we multiply both sides of the equation by x
100=1.4507525242903*x       - we divide both sides of the equation by (1.4507525242903) to get x
100/1.4507525242903=x
68.929743926461=x
x=68.929743926461

now we have:
104.98 is 68.929743926461% of 152.3