31.13 is what percent of 327.68 - 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 327.68 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 327.68, so we can write it down as 100%=327.68.
4. We know, that x% equals 31.13 of the output value, so we can write it down as x%=31.13.
5. Now we have two simple equations:
1) 100%=327.68
2) x%=31.13
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%=327.68/31.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.13 is what percent of 327.68

100%/x%=327.68/31.13
(100/x)*x=(327.68/31.13)*x       - we multiply both sides of the equation by x
100=10.526180533248*x       - we divide both sides of the equation by (10.526180533248) to get x
100/10.526180533248=x
9.5001220703125=x
x=9.5001220703125

now we have:
31.13 is 9.5001220703125% of 327.68