150.42 is what percent of 2291.67 - 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 2291.67 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 2291.67, so we can write it down as 100%=2291.67.
4. We know, that x% equals 150.42 of the output value, so we can write it down as x%=150.42.
5. Now we have two simple equations:
1) 100%=2291.67
2) x%=150.42
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%=2291.67/150.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.42 is what percent of 2291.67

100%/x%=2291.67/150.42
(100/x)*x=(2291.67/150.42)*x       - we multiply both sides of the equation by x
100=15.23514160351*x       - we divide both sides of the equation by (15.23514160351) to get x
100/15.23514160351=x
6.5637722708767=x
x=6.5637722708767

now we have:
150.42 is 6.5637722708767% of 2291.67