34.61 is what percent of 1258.56 - 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 1258.56 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 1258.56, so we can write it down as 100%=1258.56.
4. We know, that x% equals 34.61 of the output value, so we can write it down as x%=34.61.
5. Now we have two simple equations:
1) 100%=1258.56
2) x%=34.61
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%=1258.56/34.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.61 is what percent of 1258.56

100%/x%=1258.56/34.61
(100/x)*x=(1258.56/34.61)*x       - we multiply both sides of the equation by x
100=36.364056631031*x       - we divide both sides of the equation by (36.364056631031) to get x
100/36.364056631031=x
2.7499682176456=x
x=2.7499682176456

now we have:
34.61 is 2.7499682176456% of 1258.56