154.77 is what percent of 93.8 - 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 93.8 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 93.8, so we can write it down as 100%=93.8.
4. We know, that x% equals 154.77 of the output value, so we can write it down as x%=154.77.
5. Now we have two simple equations:
1) 100%=93.8
2) x%=154.77
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%=93.8/154.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.77 is what percent of 93.8

100%/x%=93.8/154.77
(100/x)*x=(93.8/154.77)*x       - we multiply both sides of the equation by x
100=0.60606060606061*x       - we divide both sides of the equation by (0.60606060606061) to get x
100/0.60606060606061=x
165=x
x=165

now we have:
154.77 is 165% of 93.8