137.44 is what percent of 187.64 - 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 187.64 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 187.64, so we can write it down as 100%=187.64.
4. We know, that x% equals 137.44 of the output value, so we can write it down as x%=137.44.
5. Now we have two simple equations:
1) 100%=187.64
2) x%=137.44
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%=187.64/137.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.44 is what percent of 187.64

100%/x%=187.64/137.44
(100/x)*x=(187.64/137.44)*x       - we multiply both sides of the equation by x
100=1.3652502910361*x       - we divide both sides of the equation by (1.3652502910361) to get x
100/1.3652502910361=x
73.246642506928=x
x=73.246642506928

now we have:
137.44 is 73.246642506928% of 187.64