150.31 is what percent of 1370.67 - 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 1370.67 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 1370.67, so we can write it down as 100%=1370.67.
4. We know, that x% equals 150.31 of the output value, so we can write it down as x%=150.31.
5. Now we have two simple equations:
1) 100%=1370.67
2) x%=150.31
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%=1370.67/150.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.31 is what percent of 1370.67

100%/x%=1370.67/150.31
(100/x)*x=(1370.67/150.31)*x       - we multiply both sides of the equation by x
100=9.1189541613998*x       - we divide both sides of the equation by (9.1189541613998) to get x
100/9.1189541613998=x
10.966169829354=x
x=10.966169829354

now we have:
150.31 is 10.966169829354% of 1370.67