63.67 is what percent of 1872.75 - 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 1872.75 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 1872.75, so we can write it down as 100%=1872.75.
4. We know, that x% equals 63.67 of the output value, so we can write it down as x%=63.67.
5. Now we have two simple equations:
1) 100%=1872.75
2) x%=63.67
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%=1872.75/63.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.67 is what percent of 1872.75

100%/x%=1872.75/63.67
(100/x)*x=(1872.75/63.67)*x       - we multiply both sides of the equation by x
100=29.413381498351*x       - we divide both sides of the equation by (29.413381498351) to get x
100/29.413381498351=x
3.3998131090642=x
x=3.3998131090642

now we have:
63.67 is 3.3998131090642% of 1872.75