105.38 is what percent of 150 - 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 150 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 150, so we can write it down as 100%=150.
4. We know, that x% equals 105.38 of the output value, so we can write it down as x%=105.38.
5. Now we have two simple equations:
1) 100%=150
2) x%=105.38
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%=150/105.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 105.38 is what percent of 150

100%/x%=150/105.38
(100/x)*x=(150/105.38)*x       - we multiply both sides of the equation by x
100=1.4234200037958*x       - we divide both sides of the equation by (1.4234200037958) to get x
100/1.4234200037958=x
70.253333333333=x
x=70.253333333333

now we have:
105.38 is 70.253333333333% of 150