94.98 is what percent of 158.99 - 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 158.99 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 158.99, so we can write it down as 100%=158.99.
4. We know, that x% equals 94.98 of the output value, so we can write it down as x%=94.98.
5. Now we have two simple equations:
1) 100%=158.99
2) x%=94.98
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%=158.99/94.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.98 is what percent of 158.99

100%/x%=158.99/94.98
(100/x)*x=(158.99/94.98)*x       - we multiply both sides of the equation by x
100=1.6739313539693*x       - we divide both sides of the equation by (1.6739313539693) to get x
100/1.6739313539693=x
59.739606264545=x
x=59.739606264545

now we have:
94.98 is 59.739606264545% of 158.99