162.36 is what percent of 357.19 - 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 357.19 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 357.19, so we can write it down as 100%=357.19.
4. We know, that x% equals 162.36 of the output value, so we can write it down as x%=162.36.
5. Now we have two simple equations:
1) 100%=357.19
2) x%=162.36
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%=357.19/162.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.36 is what percent of 357.19

100%/x%=357.19/162.36
(100/x)*x=(357.19/162.36)*x       - we multiply both sides of the equation by x
100=2.199987681695*x       - we divide both sides of the equation by (2.199987681695) to get x
100/2.199987681695=x
45.454799966404=x
x=45.454799966404

now we have:
162.36 is 45.454799966404% of 357.19