340.77 is what percent of 977.6 - 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 977.6 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 977.6, so we can write it down as 100%=977.6.
4. We know, that x% equals 340.77 of the output value, so we can write it down as x%=340.77.
5. Now we have two simple equations:
1) 100%=977.6
2) x%=340.77
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%=977.6/340.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 340.77 is what percent of 977.6

100%/x%=977.6/340.77
(100/x)*x=(977.6/340.77)*x       - we multiply both sides of the equation by x
100=2.8687971358981*x       - we divide both sides of the equation by (2.8687971358981) to get x
100/2.8687971358981=x
34.857815057283=x
x=34.857815057283

now we have:
340.77 is 34.857815057283% of 977.6