157.69 is what percent of 283.2 - 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 283.2 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 283.2, so we can write it down as 100%=283.2.
4. We know, that x% equals 157.69 of the output value, so we can write it down as x%=157.69.
5. Now we have two simple equations:
1) 100%=283.2
2) x%=157.69
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%=283.2/157.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 157.69 is what percent of 283.2

100%/x%=283.2/157.69
(100/x)*x=(283.2/157.69)*x       - we multiply both sides of the equation by x
100=1.7959287209081*x       - we divide both sides of the equation by (1.7959287209081) to get x
100/1.7959287209081=x
55.681497175141=x
x=55.681497175141

now we have:
157.69 is 55.681497175141% of 283.2