167.55 is what percent of 1929.2 - 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 1929.2 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 1929.2, so we can write it down as 100%=1929.2.
4. We know, that x% equals 167.55 of the output value, so we can write it down as x%=167.55.
5. Now we have two simple equations:
1) 100%=1929.2
2) x%=167.55
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%=1929.2/167.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.55 is what percent of 1929.2

100%/x%=1929.2/167.55
(100/x)*x=(1929.2/167.55)*x       - we multiply both sides of the equation by x
100=11.514174873172*x       - we divide both sides of the equation by (11.514174873172) to get x
100/11.514174873172=x
8.6849471283434=x
x=8.6849471283434

now we have:
167.55 is 8.6849471283434% of 1929.2