168.25 is what percent of 1835.45 - 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 1835.45 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 1835.45, so we can write it down as 100%=1835.45.
4. We know, that x% equals 168.25 of the output value, so we can write it down as x%=168.25.
5. Now we have two simple equations:
1) 100%=1835.45
2) x%=168.25
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%=1835.45/168.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 168.25 is what percent of 1835.45

100%/x%=1835.45/168.25
(100/x)*x=(1835.45/168.25)*x       - we multiply both sides of the equation by x
100=10.909063893016*x       - we divide both sides of the equation by (10.909063893016) to get x
100/10.909063893016=x
9.16668936773=x
x=9.16668936773

now we have:
168.25 is 9.16668936773% of 1835.45