152.46 is what percent of 2312 - 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 2312 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 2312, so we can write it down as 100%=2312.
4. We know, that x% equals 152.46 of the output value, so we can write it down as x%=152.46.
5. Now we have two simple equations:
1) 100%=2312
2) x%=152.46
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%=2312/152.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.46 is what percent of 2312

100%/x%=2312/152.46
(100/x)*x=(2312/152.46)*x       - we multiply both sides of the equation by x
100=15.164633346452*x       - we divide both sides of the equation by (15.164633346452) to get x
100/15.164633346452=x
6.5942906574394=x
x=6.5942906574394

now we have:
152.46 is 6.5942906574394% of 2312