312.33 is what percent of 1.687 - 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 1.687 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 1.687, so we can write it down as 100%=1.687.
4. We know, that x% equals 312.33 of the output value, so we can write it down as x%=312.33.
5. Now we have two simple equations:
1) 100%=1.687
2) x%=312.33
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%=1.687/312.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 312.33 is what percent of 1.687

100%/x%=1.687/312.33
(100/x)*x=(1.687/312.33)*x       - we multiply both sides of the equation by x
100=0.0054013383280505*x       - we divide both sides of the equation by (0.0054013383280505) to get x
100/0.0054013383280505=x
18513.930053349=x
x=18513.930053349

now we have:
312.33 is 18513.930053349% of 1.687