125.2 is what percent of 163.7 - 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 163.7 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 163.7, so we can write it down as 100%=163.7.
4. We know, that x% equals 125.2 of the output value, so we can write it down as x%=125.2.
5. Now we have two simple equations:
1) 100%=163.7
2) x%=125.2
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%=163.7/125.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.2 is what percent of 163.7

100%/x%=163.7/125.2
(100/x)*x=(163.7/125.2)*x       - we multiply both sides of the equation by x
100=1.3075079872204*x       - we divide both sides of the equation by (1.3075079872204) to get x
100/1.3075079872204=x
76.48136835675=x
x=76.48136835675

now we have:
125.2 is 76.48136835675% of 163.7