147.62 is what percent of 1146.46 - 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 1146.46 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 1146.46, so we can write it down as 100%=1146.46.
4. We know, that x% equals 147.62 of the output value, so we can write it down as x%=147.62.
5. Now we have two simple equations:
1) 100%=1146.46
2) x%=147.62
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%=1146.46/147.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.62 is what percent of 1146.46

100%/x%=1146.46/147.62
(100/x)*x=(1146.46/147.62)*x       - we multiply both sides of the equation by x
100=7.7662918303753*x       - we divide both sides of the equation by (7.7662918303753) to get x
100/7.7662918303753=x
12.876157912182=x
x=12.876157912182

now we have:
147.62 is 12.876157912182% of 1146.46