318.9 is what percent of 893.344 - 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 893.344 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 893.344, so we can write it down as 100%=893.344.
4. We know, that x% equals 318.9 of the output value, so we can write it down as x%=318.9.
5. Now we have two simple equations:
1) 100%=893.344
2) x%=318.9
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%=893.344/318.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 318.9 is what percent of 893.344

100%/x%=893.344/318.9
(100/x)*x=(893.344/318.9)*x       - we multiply both sides of the equation by x
100=2.8013295703982*x       - we divide both sides of the equation by (2.8013295703982) to get x
100/2.8013295703982=x
35.697334957195=x
x=35.697334957195

now we have:
318.9 is 35.697334957195% of 893.344