20 is what percent of 157.7 - 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 157.7 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 157.7, so we can write it down as 100%=157.7.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=157.7
2) x%=20
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%=157.7/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 157.7

100%/x%=157.7/20
(100/x)*x=(157.7/20)*x       - we multiply both sides of the equation by x
100=7.885*x       - we divide both sides of the equation by (7.885) to get x
100/7.885=x
12.682308180089=x
x=12.682308180089

now we have:
20 is 12.682308180089% of 157.7