90 is what percent of 154.02 - 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 154.02 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 154.02, so we can write it down as 100%=154.02.
4. We know, that x% equals 90 of the output value, so we can write it down as x%=90.
5. Now we have two simple equations:
1) 100%=154.02
2) x%=90
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%=154.02/90
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90 is what percent of 154.02

100%/x%=154.02/90
(100/x)*x=(154.02/90)*x       - we multiply both sides of the equation by x
100=1.7113333333333*x       - we divide both sides of the equation by (1.7113333333333) to get x
100/1.7113333333333=x
58.433969614336=x
x=58.433969614336

now we have:
90 is 58.433969614336% of 154.02