10.1 is what percent of 322 - 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 322 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 322, so we can write it down as 100%=322.
4. We know, that x% equals 10.1 of the output value, so we can write it down as x%=10.1.
5. Now we have two simple equations:
1) 100%=322
2) x%=10.1
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%=322/10.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.1 is what percent of 322

100%/x%=322/10.1
(100/x)*x=(322/10.1)*x       - we multiply both sides of the equation by x
100=31.881188118812*x       - we divide both sides of the equation by (31.881188118812) to get x
100/31.881188118812=x
3.1366459627329=x
x=3.1366459627329

now we have:
10.1 is 3.1366459627329% of 322