34.31 is what percent of 23.25 - 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 23.25 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 23.25, so we can write it down as 100%=23.25.
4. We know, that x% equals 34.31 of the output value, so we can write it down as x%=34.31.
5. Now we have two simple equations:
1) 100%=23.25
2) x%=34.31
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%=23.25/34.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.31 is what percent of 23.25

100%/x%=23.25/34.31
(100/x)*x=(23.25/34.31)*x       - we multiply both sides of the equation by x
100=0.6776450014573*x       - we divide both sides of the equation by (0.6776450014573) to get x
100/0.6776450014573=x
147.56989247312=x
x=147.56989247312

now we have:
34.31 is 147.56989247312% of 23.25