135.5 is what percent of 1734.5 - 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 1734.5 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 1734.5, so we can write it down as 100%=1734.5.
4. We know, that x% equals 135.5 of the output value, so we can write it down as x%=135.5.
5. Now we have two simple equations:
1) 100%=1734.5
2) x%=135.5
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%=1734.5/135.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.5 is what percent of 1734.5

100%/x%=1734.5/135.5
(100/x)*x=(1734.5/135.5)*x       - we multiply both sides of the equation by x
100=12.80073800738*x       - we divide both sides of the equation by (12.80073800738) to get x
100/12.80073800738=x
7.8120495820121=x
x=7.8120495820121

now we have:
135.5 is 7.8120495820121% of 1734.5