93.25 is what percent of 155.42 - 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 155.42 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 155.42, so we can write it down as 100%=155.42.
4. We know, that x% equals 93.25 of the output value, so we can write it down as x%=93.25.
5. Now we have two simple equations:
1) 100%=155.42
2) x%=93.25
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%=155.42/93.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93.25 is what percent of 155.42

100%/x%=155.42/93.25
(100/x)*x=(155.42/93.25)*x       - we multiply both sides of the equation by x
100=1.6667024128686*x       - we divide both sides of the equation by (1.6667024128686) to get x
100/1.6667024128686=x
59.998713164329=x
x=59.998713164329

now we have:
93.25 is 59.998713164329% of 155.42