11.7 is what percent of 48.7 - 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 48.7 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 48.7, so we can write it down as 100%=48.7.
4. We know, that x% equals 11.7 of the output value, so we can write it down as x%=11.7.
5. Now we have two simple equations:
1) 100%=48.7
2) x%=11.7
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%=48.7/11.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.7 is what percent of 48.7

100%/x%=48.7/11.7
(100/x)*x=(48.7/11.7)*x       - we multiply both sides of the equation by x
100=4.1623931623932*x       - we divide both sides of the equation by (4.1623931623932) to get x
100/4.1623931623932=x
24.024640657084=x
x=24.024640657084

now we have:
11.7 is 24.024640657084% of 48.7