137.4 is what percent of 1074.6 - 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 1074.6 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 1074.6, so we can write it down as 100%=1074.6.
4. We know, that x% equals 137.4 of the output value, so we can write it down as x%=137.4.
5. Now we have two simple equations:
1) 100%=1074.6
2) x%=137.4
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%=1074.6/137.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.4 is what percent of 1074.6

100%/x%=1074.6/137.4
(100/x)*x=(1074.6/137.4)*x       - we multiply both sides of the equation by x
100=7.82096069869*x       - we divide both sides of the equation by (7.82096069869) to get x
100/7.82096069869=x
12.786152987158=x
x=12.786152987158

now we have:
137.4 is 12.786152987158% of 1074.6