151.5 is what percent of 258.5 - 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 258.5 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 258.5, so we can write it down as 100%=258.5.
4. We know, that x% equals 151.5 of the output value, so we can write it down as x%=151.5.
5. Now we have two simple equations:
1) 100%=258.5
2) x%=151.5
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%=258.5/151.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 151.5 is what percent of 258.5

100%/x%=258.5/151.5
(100/x)*x=(258.5/151.5)*x       - we multiply both sides of the equation by x
100=1.7062706270627*x       - we divide both sides of the equation by (1.7062706270627) to get x
100/1.7062706270627=x
58.607350096712=x
x=58.607350096712

now we have:
151.5 is 58.607350096712% of 258.5