15.7 is what percent of 54.75 - 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 54.75 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 54.75, so we can write it down as 100%=54.75.
4. We know, that x% equals 15.7 of the output value, so we can write it down as x%=15.7.
5. Now we have two simple equations:
1) 100%=54.75
2) x%=15.7
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%=54.75/15.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.7 is what percent of 54.75

100%/x%=54.75/15.7
(100/x)*x=(54.75/15.7)*x       - we multiply both sides of the equation by x
100=3.4872611464968*x       - we divide both sides of the equation by (3.4872611464968) to get x
100/3.4872611464968=x
28.675799086758=x
x=28.675799086758

now we have:
15.7 is 28.675799086758% of 54.75