46 is what percent of 157.5 - 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 157.5 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 157.5, so we can write it down as 100%=157.5.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=157.5
2) x%=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%=157.5/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 157.5

100%/x%=157.5/46
(100/x)*x=(157.5/46)*x       - we multiply both sides of the equation by x
100=3.4239130434783*x       - we divide both sides of the equation by (3.4239130434783) to get x
100/3.4239130434783=x
29.206349206349=x
x=29.206349206349

now we have:
46 is 29.206349206349% of 157.5