67.63 is what percent of 1365.32 - 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 1365.32 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 1365.32, so we can write it down as 100%=1365.32.
4. We know, that x% equals 67.63 of the output value, so we can write it down as x%=67.63.
5. Now we have two simple equations:
1) 100%=1365.32
2) x%=67.63
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%=1365.32/67.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.63 is what percent of 1365.32

100%/x%=1365.32/67.63
(100/x)*x=(1365.32/67.63)*x       - we multiply both sides of the equation by x
100=20.188082212036*x       - we divide both sides of the equation by (20.188082212036) to get x
100/20.188082212036=x
4.9534175138429=x
x=4.9534175138429

now we have:
67.63 is 4.9534175138429% of 1365.32