94.98 is what percent of 158.96 - 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 158.96 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 158.96, so we can write it down as 100%=158.96.
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%=158.96
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%=158.96/94.98
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 158.96

100%/x%=158.96/94.98
(100/x)*x=(158.96/94.98)*x       - we multiply both sides of the equation by x
100=1.6736154979996*x       - we divide both sides of the equation by (1.6736154979996) to get x
100/1.6736154979996=x
59.750880724711=x
x=59.750880724711

now we have:
94.98 is 59.750880724711% of 158.96