167.62 is what percent of 1919.42 - 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 1919.42 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 1919.42, so we can write it down as 100%=1919.42.
4. We know, that x% equals 167.62 of the output value, so we can write it down as x%=167.62.
5. Now we have two simple equations:
1) 100%=1919.42
2) x%=167.62
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%=1919.42/167.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.62 is what percent of 1919.42

100%/x%=1919.42/167.62
(100/x)*x=(1919.42/167.62)*x       - we multiply both sides of the equation by x
100=11.451020164658*x       - we divide both sides of the equation by (11.451020164658) to get x
100/11.451020164658=x
8.7328463806775=x
x=8.7328463806775

now we have:
167.62 is 8.7328463806775% of 1919.42