137.56 is what percent of 797.98 - 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 797.98 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 797.98, so we can write it down as 100%=797.98.
4. We know, that x% equals 137.56 of the output value, so we can write it down as x%=137.56.
5. Now we have two simple equations:
1) 100%=797.98
2) x%=137.56
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%=797.98/137.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.56 is what percent of 797.98

100%/x%=797.98/137.56
(100/x)*x=(797.98/137.56)*x       - we multiply both sides of the equation by x
100=5.8009595812736*x       - we divide both sides of the equation by (5.8009595812736) to get x
100/5.8009595812736=x
17.238527281385=x
x=17.238527281385

now we have:
137.56 is 17.238527281385% of 797.98