156.75 is what percent of 996.6 - 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 996.6 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 996.6, so we can write it down as 100%=996.6.
4. We know, that x% equals 156.75 of the output value, so we can write it down as x%=156.75.
5. Now we have two simple equations:
1) 100%=996.6
2) x%=156.75
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%=996.6/156.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.75 is what percent of 996.6

100%/x%=996.6/156.75
(100/x)*x=(996.6/156.75)*x       - we multiply both sides of the equation by x
100=6.3578947368421*x       - we divide both sides of the equation by (6.3578947368421) to get x
100/6.3578947368421=x
15.728476821192=x
x=15.728476821192

now we have:
156.75 is 15.728476821192% of 996.6