154.56 is what percent of 1127.67 - 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 1127.67 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 1127.67, so we can write it down as 100%=1127.67.
4. We know, that x% equals 154.56 of the output value, so we can write it down as x%=154.56.
5. Now we have two simple equations:
1) 100%=1127.67
2) x%=154.56
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%=1127.67/154.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 154.56 is what percent of 1127.67

100%/x%=1127.67/154.56
(100/x)*x=(1127.67/154.56)*x       - we multiply both sides of the equation by x
100=7.296001552795*x       - we divide both sides of the equation by (7.296001552795) to get x
100/7.296001552795=x
13.706137433824=x
x=13.706137433824

now we have:
154.56 is 13.706137433824% of 1127.67