34.46 is what percent of 38.29 - 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 38.29 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 38.29, so we can write it down as 100%=38.29.
4. We know, that x% equals 34.46 of the output value, so we can write it down as x%=34.46.
5. Now we have two simple equations:
1) 100%=38.29
2) x%=34.46
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%=38.29/34.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.46 is what percent of 38.29

100%/x%=38.29/34.46
(100/x)*x=(38.29/34.46)*x       - we multiply both sides of the equation by x
100=1.111143354614*x       - we divide both sides of the equation by (1.111143354614) to get x
100/1.111143354614=x
89.99738835205=x
x=89.99738835205

now we have:
34.46 is 89.99738835205% of 38.29