137.49 is what percent of 167.49 - 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 167.49 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 167.49, so we can write it down as 100%=167.49.
4. We know, that x% equals 137.49 of the output value, so we can write it down as x%=137.49.
5. Now we have two simple equations:
1) 100%=167.49
2) x%=137.49
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%=167.49/137.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.49 is what percent of 167.49

100%/x%=167.49/137.49
(100/x)*x=(167.49/137.49)*x       - we multiply both sides of the equation by x
100=1.2181976871045*x       - we divide both sides of the equation by (1.2181976871045) to get x
100/1.2181976871045=x
82.088482894501=x
x=82.088482894501

now we have:
137.49 is 82.088482894501% of 167.49