312.5 is what percent of 3475 - 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 3475 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 3475, so we can write it down as 100%=3475.
4. We know, that x% equals 312.5 of the output value, so we can write it down as x%=312.5.
5. Now we have two simple equations:
1) 100%=3475
2) x%=312.5
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%=3475/312.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.5 is what percent of 3475

100%/x%=3475/312.5
(100/x)*x=(3475/312.5)*x       - we multiply both sides of the equation by x
100=11.12*x       - we divide both sides of the equation by (11.12) to get x
100/11.12=x
8.9928057553957=x
x=8.9928057553957

now we have:
312.5 is 8.9928057553957% of 3475