28.27 is what percent of 157.08 - 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 157.08 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 157.08, so we can write it down as 100%=157.08.
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%=157.08
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%=157.08/28.27
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 157.08

100%/x%=157.08/28.27
(100/x)*x=(157.08/28.27)*x       - we multiply both sides of the equation by x
100=5.556420233463*x       - we divide both sides of the equation by (5.556420233463) to get x
100/5.556420233463=x
17.997198879552=x
x=17.997198879552

now we have:
28.27 is 17.997198879552% of 157.08