173.87 is what percent of 1448.94 - 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 1448.94 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 1448.94, so we can write it down as 100%=1448.94.
4. We know, that x% equals 173.87 of the output value, so we can write it down as x%=173.87.
5. Now we have two simple equations:
1) 100%=1448.94
2) x%=173.87
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%=1448.94/173.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 173.87 is what percent of 1448.94

100%/x%=1448.94/173.87
(100/x)*x=(1448.94/173.87)*x       - we multiply both sides of the equation by x
100=8.3334675332145*x       - we divide both sides of the equation by (8.3334675332145) to get x
100/8.3334675332145=x
11.999806755283=x
x=11.999806755283

now we have:
173.87 is 11.999806755283% of 1448.94