What is 11.11 percent of 157.5 - 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 157.5 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 157.5 is 100%, so we can write it down as 157.5=100%.
4. We know, that x is 11.11% of the output value, so we can write it down as x=11.11%.
5. Now we have two simple equations:
1) 157.5=100%
2) x=11.11%
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:
157.5/x=100%/11.11%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.11% of 157.5

157.5/x=100/11.11
(157.5/x)*x=(100/11.11)*x       - we multiply both sides of the equation by x
157.5=9.000900090009*x       - we divide both sides of the equation by (9.000900090009) to get x
157.5/9.000900090009=x
17.49825=x
x=17.49825

now we have:
11.11% of 157.5=17.49825