1150.77 is what percent of 33.69 - 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 33.69 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 33.69, so we can write it down as 100%=33.69.
4. We know, that x% equals 1150.77 of the output value, so we can write it down as x%=1150.77.
5. Now we have two simple equations:
1) 100%=33.69
2) x%=1150.77
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%=33.69/1150.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1150.77 is what percent of 33.69

100%/x%=33.69/1150.77
(100/x)*x=(33.69/1150.77)*x       - we multiply both sides of the equation by x
100=0.029276049949164*x       - we divide both sides of the equation by (0.029276049949164) to get x
100/0.029276049949164=x
3415.7613535174=x
x=3415.7613535174

now we have:
1150.77 is 3415.7613535174% of 33.69