149.39 is what percent of 727.59 - 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 727.59 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 727.59, so we can write it down as 100%=727.59.
4. We know, that x% equals 149.39 of the output value, so we can write it down as x%=149.39.
5. Now we have two simple equations:
1) 100%=727.59
2) x%=149.39
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%=727.59/149.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.39 is what percent of 727.59

100%/x%=727.59/149.39
(100/x)*x=(727.59/149.39)*x       - we multiply both sides of the equation by x
100=4.8704063190307*x       - we divide both sides of the equation by (4.8704063190307) to get x
100/4.8704063190307=x
20.532167841779=x
x=20.532167841779

now we have:
149.39 is 20.532167841779% of 727.59