260.7 is what percent of 23.6 - 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 23.6 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 23.6, so we can write it down as 100%=23.6.
4. We know, that x% equals 260.7 of the output value, so we can write it down as x%=260.7.
5. Now we have two simple equations:
1) 100%=23.6
2) x%=260.7
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%=23.6/260.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.7 is what percent of 23.6

100%/x%=23.6/260.7
(100/x)*x=(23.6/260.7)*x       - we multiply both sides of the equation by x
100=0.090525508247027*x       - we divide both sides of the equation by (0.090525508247027) to get x
100/0.090525508247027=x
1104.6610169492=x
x=1104.6610169492

now we have:
260.7 is 1104.6610169492% of 23.6