0.15 is what percent of 34.13 - 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 34.13 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 34.13, so we can write it down as 100%=34.13.
4. We know, that x% equals 0.15 of the output value, so we can write it down as x%=0.15.
5. Now we have two simple equations:
1) 100%=34.13
2) x%=0.15
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%=34.13/0.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.15 is what percent of 34.13

100%/x%=34.13/0.15
(100/x)*x=(34.13/0.15)*x       - we multiply both sides of the equation by x
100=227.53333333333*x       - we divide both sides of the equation by (227.53333333333) to get x
100/227.53333333333=x
0.4394960445356=x
x=0.4394960445356

now we have:
0.15 is 0.4394960445356% of 34.13