28.27 is what percent of 15.7 - 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 15.7 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 15.7, so we can write it down as 100%=15.7.
4. We know, that x% equals 28.27 of the output value, so we can write it down as x%=28.27.
5. Now we have two simple equations:
1) 100%=15.7
2) x%=28.27
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%=15.7/28.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.27 is what percent of 15.7

100%/x%=15.7/28.27
(100/x)*x=(15.7/28.27)*x       - we multiply both sides of the equation by x
100=0.55535903784931*x       - we divide both sides of the equation by (0.55535903784931) to get x
100/0.55535903784931=x
180.06369426752=x
x=180.06369426752

now we have:
28.27 is 180.06369426752% of 15.7