90.1 is what percent of 323.13 - 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 323.13 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 323.13, so we can write it down as 100%=323.13.
4. We know, that x% equals 90.1 of the output value, so we can write it down as x%=90.1.
5. Now we have two simple equations:
1) 100%=323.13
2) x%=90.1
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%=323.13/90.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.1 is what percent of 323.13

100%/x%=323.13/90.1
(100/x)*x=(323.13/90.1)*x       - we multiply both sides of the equation by x
100=3.5863485016648*x       - we divide both sides of the equation by (3.5863485016648) to get x
100/3.5863485016648=x
27.883514375019=x
x=27.883514375019

now we have:
90.1 is 27.883514375019% of 323.13