6.99 is what percent of 11.88 - 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 11.88 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 11.88, so we can write it down as 100%=11.88.
4. We know, that x% equals 6.99 of the output value, so we can write it down as x%=6.99.
5. Now we have two simple equations:
1) 100%=11.88
2) x%=6.99
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%=11.88/6.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.99 is what percent of 11.88

100%/x%=11.88/6.99
(100/x)*x=(11.88/6.99)*x       - we multiply both sides of the equation by x
100=1.6995708154506*x       - we divide both sides of the equation by (1.6995708154506) to get x
100/1.6995708154506=x
58.838383838384=x
x=58.838383838384

now we have:
6.99 is 58.838383838384% of 11.88