631.3 is what percent of 1670 - 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 1670 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 1670, so we can write it down as 100%=1670.
4. We know, that x% equals 631.3 of the output value, so we can write it down as x%=631.3.
5. Now we have two simple equations:
1) 100%=1670
2) x%=631.3
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%=1670/631.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 631.3 is what percent of 1670

100%/x%=1670/631.3
(100/x)*x=(1670/631.3)*x       - we multiply both sides of the equation by x
100=2.6453350229685*x       - we divide both sides of the equation by (2.6453350229685) to get x
100/2.6453350229685=x
37.802395209581=x
x=37.802395209581

now we have:
631.3 is 37.802395209581% of 1670