162.11 is what percent of 511.36 - 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 511.36 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 511.36, so we can write it down as 100%=511.36.
4. We know, that x% equals 162.11 of the output value, so we can write it down as x%=162.11.
5. Now we have two simple equations:
1) 100%=511.36
2) x%=162.11
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%=511.36/162.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.11 is what percent of 511.36

100%/x%=511.36/162.11
(100/x)*x=(511.36/162.11)*x       - we multiply both sides of the equation by x
100=3.1544013324286*x       - we divide both sides of the equation by (3.1544013324286) to get x
100/3.1544013324286=x
31.701736545682=x
x=31.701736545682

now we have:
162.11 is 31.701736545682% of 511.36