50.43 is what percent of 157.62 - 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 157.62 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 157.62, so we can write it down as 100%=157.62.
4. We know, that x% equals 50.43 of the output value, so we can write it down as x%=50.43.
5. Now we have two simple equations:
1) 100%=157.62
2) x%=50.43
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%=157.62/50.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.43 is what percent of 157.62

100%/x%=157.62/50.43
(100/x)*x=(157.62/50.43)*x       - we multiply both sides of the equation by x
100=3.1255205234979*x       - we divide both sides of the equation by (3.1255205234979) to get x
100/3.1255205234979=x
31.994670727065=x
x=31.994670727065

now we have:
50.43 is 31.994670727065% of 157.62