887.46 is what percent of 2931.12 - 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 2931.12 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 2931.12, so we can write it down as 100%=2931.12.
4. We know, that x% equals 887.46 of the output value, so we can write it down as x%=887.46.
5. Now we have two simple equations:
1) 100%=2931.12
2) x%=887.46
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%=2931.12/887.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 887.46 is what percent of 2931.12

100%/x%=2931.12/887.46
(100/x)*x=(2931.12/887.46)*x       - we multiply both sides of the equation by x
100=3.3028192819958*x       - we divide both sides of the equation by (3.3028192819958) to get x
100/3.3028192819958=x
30.277163678048=x
x=30.277163678048

now we have:
887.46 is 30.277163678048% of 2931.12