37.76 is what percent of 340.77 - 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 340.77 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 340.77, so we can write it down as 100%=340.77.
4. We know, that x% equals 37.76 of the output value, so we can write it down as x%=37.76.
5. Now we have two simple equations:
1) 100%=340.77
2) x%=37.76
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%=340.77/37.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.76 is what percent of 340.77

100%/x%=340.77/37.76
(100/x)*x=(340.77/37.76)*x       - we multiply both sides of the equation by x
100=9.0246292372881*x       - we divide both sides of the equation by (9.0246292372881) to get x
100/9.0246292372881=x
11.080787628019=x
x=11.080787628019

now we have:
37.76 is 11.080787628019% of 340.77