136.85 is what percent of 710.3 - 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 710.3 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 710.3, so we can write it down as 100%=710.3.
4. We know, that x% equals 136.85 of the output value, so we can write it down as x%=136.85.
5. Now we have two simple equations:
1) 100%=710.3
2) x%=136.85
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%=710.3/136.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 136.85 is what percent of 710.3

100%/x%=710.3/136.85
(100/x)*x=(710.3/136.85)*x       - we multiply both sides of the equation by x
100=5.1903544026306*x       - we divide both sides of the equation by (5.1903544026306) to get x
100/5.1903544026306=x
19.266507109672=x
x=19.266507109672

now we have:
136.85 is 19.266507109672% of 710.3