285.13 is what percent of 316.81 - 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 316.81 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 316.81, so we can write it down as 100%=316.81.
4. We know, that x% equals 285.13 of the output value, so we can write it down as x%=285.13.
5. Now we have two simple equations:
1) 100%=316.81
2) x%=285.13
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%=316.81/285.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.13 is what percent of 316.81

100%/x%=316.81/285.13
(100/x)*x=(316.81/285.13)*x       - we multiply both sides of the equation by x
100=1.1111072142531*x       - we divide both sides of the equation by (1.1111072142531) to get x
100/1.1111072142531=x
90.000315646602=x
x=90.000315646602

now we have:
285.13 is 90.000315646602% of 316.81