164.64 is what percent of 1780 - 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 1780 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 1780, so we can write it down as 100%=1780.
4. We know, that x% equals 164.64 of the output value, so we can write it down as x%=164.64.
5. Now we have two simple equations:
1) 100%=1780
2) x%=164.64
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%=1780/164.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.64 is what percent of 1780

100%/x%=1780/164.64
(100/x)*x=(1780/164.64)*x       - we multiply both sides of the equation by x
100=10.811467444121*x       - we divide both sides of the equation by (10.811467444121) to get x
100/10.811467444121=x
9.2494382022472=x
x=9.2494382022472

now we have:
164.64 is 9.2494382022472% of 1780