145.5 is what percent of 16.732 - 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 16.732 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 16.732, so we can write it down as 100%=16.732.
4. We know, that x% equals 145.5 of the output value, so we can write it down as x%=145.5.
5. Now we have two simple equations:
1) 100%=16.732
2) x%=145.5
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%=16.732/145.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.5 is what percent of 16.732

100%/x%=16.732/145.5
(100/x)*x=(16.732/145.5)*x       - we multiply both sides of the equation by x
100=0.11499656357388*x       - we divide both sides of the equation by (0.11499656357388) to get x
100/0.11499656357388=x
869.59120248625=x
x=869.59120248625

now we have:
145.5 is 869.59120248625% of 16.732