167.3 is what percent of 1584 - 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 1584 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 1584, so we can write it down as 100%=1584.
4. We know, that x% equals 167.3 of the output value, so we can write it down as x%=167.3.
5. Now we have two simple equations:
1) 100%=1584
2) x%=167.3
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%=1584/167.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.3 is what percent of 1584

100%/x%=1584/167.3
(100/x)*x=(1584/167.3)*x       - we multiply both sides of the equation by x
100=9.4680215182307*x       - we divide both sides of the equation by (9.4680215182307) to get x
100/9.4680215182307=x
10.561868686869=x
x=10.561868686869

now we have:
167.3 is 10.561868686869% of 1584