31.94 is what percent of 675 - 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 675 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 675, so we can write it down as 100%=675.
4. We know, that x% equals 31.94 of the output value, so we can write it down as x%=31.94.
5. Now we have two simple equations:
1) 100%=675
2) x%=31.94
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%=675/31.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.94 is what percent of 675

100%/x%=675/31.94
(100/x)*x=(675/31.94)*x       - we multiply both sides of the equation by x
100=21.133375078272*x       - we divide both sides of the equation by (21.133375078272) to get x
100/21.133375078272=x
4.7318518518519=x
x=4.7318518518519

now we have:
31.94 is 4.7318518518519% of 675