637.3 is what percent of 2.003 - 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 2.003 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 2.003, so we can write it down as 100%=2.003.
4. We know, that x% equals 637.3 of the output value, so we can write it down as x%=637.3.
5. Now we have two simple equations:
1) 100%=2.003
2) x%=637.3
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%=2.003/637.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 637.3 is what percent of 2.003

100%/x%=2.003/637.3
(100/x)*x=(2.003/637.3)*x       - we multiply both sides of the equation by x
100=0.0031429468068414*x       - we divide both sides of the equation by (0.0031429468068414) to get x
100/0.0031429468068414=x
31817.274088867=x
x=31817.274088867

now we have:
637.3 is 31817.274088867% of 2.003