150.15 is what percent of 894.67 - 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 894.67 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 894.67, so we can write it down as 100%=894.67.
4. We know, that x% equals 150.15 of the output value, so we can write it down as x%=150.15.
5. Now we have two simple equations:
1) 100%=894.67
2) x%=150.15
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%=894.67/150.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.15 is what percent of 894.67

100%/x%=894.67/150.15
(100/x)*x=(894.67/150.15)*x       - we multiply both sides of the equation by x
100=5.9585081585082*x       - we divide both sides of the equation by (5.9585081585082) to get x
100/5.9585081585082=x
16.782724356467=x
x=16.782724356467

now we have:
150.15 is 16.782724356467% of 894.67