137.69 is what percent of 78.4 - 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 78.4 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 78.4, so we can write it down as 100%=78.4.
4. We know, that x% equals 137.69 of the output value, so we can write it down as x%=137.69.
5. Now we have two simple equations:
1) 100%=78.4
2) x%=137.69
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%=78.4/137.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.69 is what percent of 78.4

100%/x%=78.4/137.69
(100/x)*x=(78.4/137.69)*x       - we multiply both sides of the equation by x
100=0.56939501779359*x       - we divide both sides of the equation by (0.56939501779359) to get x
100/0.56939501779359=x
175.625=x
x=175.625

now we have:
137.69 is 175.625% of 78.4