99.91 is what percent of 1518 - 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 1518 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 1518, so we can write it down as 100%=1518.
4. We know, that x% equals 99.91 of the output value, so we can write it down as x%=99.91.
5. Now we have two simple equations:
1) 100%=1518
2) x%=99.91
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%=1518/99.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.91 is what percent of 1518

100%/x%=1518/99.91
(100/x)*x=(1518/99.91)*x       - we multiply both sides of the equation by x
100=15.193674306876*x       - we divide both sides of the equation by (15.193674306876) to get x
100/15.193674306876=x
6.5816864295125=x
x=6.5816864295125

now we have:
99.91 is 6.5816864295125% of 1518