11.06 is what percent of 157.99 - 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 157.99 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 157.99, so we can write it down as 100%=157.99.
4. We know, that x% equals 11.06 of the output value, so we can write it down as x%=11.06.
5. Now we have two simple equations:
1) 100%=157.99
2) x%=11.06
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%=157.99/11.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.06 is what percent of 157.99

100%/x%=157.99/11.06
(100/x)*x=(157.99/11.06)*x       - we multiply both sides of the equation by x
100=14.284810126582*x       - we divide both sides of the equation by (14.284810126582) to get x
100/14.284810126582=x
7.0004430660168=x
x=7.0004430660168

now we have:
11.06 is 7.0004430660168% of 157.99