157.9 is what percent of 442.1 - 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 442.1 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 442.1, so we can write it down as 100%=442.1.
4. We know, that x% equals 157.9 of the output value, so we can write it down as x%=157.9.
5. Now we have two simple equations:
1) 100%=442.1
2) x%=157.9
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%=442.1/157.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.9 is what percent of 442.1

100%/x%=442.1/157.9
(100/x)*x=(442.1/157.9)*x       - we multiply both sides of the equation by x
100=2.7998733375554*x       - we divide both sides of the equation by (2.7998733375554) to get x
100/2.7998733375554=x
35.715901379778=x
x=35.715901379778

now we have:
157.9 is 35.715901379778% of 442.1