134.63 is what percent of 1683.5 - 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 1683.5 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 1683.5, so we can write it down as 100%=1683.5.
4. We know, that x% equals 134.63 of the output value, so we can write it down as x%=134.63.
5. Now we have two simple equations:
1) 100%=1683.5
2) x%=134.63
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%=1683.5/134.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.63 is what percent of 1683.5

100%/x%=1683.5/134.63
(100/x)*x=(1683.5/134.63)*x       - we multiply both sides of the equation by x
100=12.504642353116*x       - we divide both sides of the equation by (12.504642353116) to get x
100/12.504642353116=x
7.99702999703=x
x=7.99702999703

now we have:
134.63 is 7.99702999703% of 1683.5