168.67 is what percent of 845.5 - 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 845.5 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 845.5, so we can write it down as 100%=845.5.
4. We know, that x% equals 168.67 of the output value, so we can write it down as x%=168.67.
5. Now we have two simple equations:
1) 100%=845.5
2) x%=168.67
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%=845.5/168.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.67 is what percent of 845.5

100%/x%=845.5/168.67
(100/x)*x=(845.5/168.67)*x       - we multiply both sides of the equation by x
100=5.0127467836604*x       - we divide both sides of the equation by (5.0127467836604) to get x
100/5.0127467836604=x
19.949142519219=x
x=19.949142519219

now we have:
168.67 is 19.949142519219% of 845.5