157.7 is what percent of 5.9 - 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 5.9 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 5.9, so we can write it down as 100%=5.9.
4. We know, that x% equals 157.7 of the output value, so we can write it down as x%=157.7.
5. Now we have two simple equations:
1) 100%=5.9
2) x%=157.7
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%=5.9/157.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.7 is what percent of 5.9

100%/x%=5.9/157.7
(100/x)*x=(5.9/157.7)*x       - we multiply both sides of the equation by x
100=0.037412809131262*x       - we divide both sides of the equation by (0.037412809131262) to get x
100/0.037412809131262=x
2672.8813559322=x
x=2672.8813559322

now we have:
157.7 is 2672.8813559322% of 5.9