149.98 is what percent of 152.6 - 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 152.6 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 152.6, so we can write it down as 100%=152.6.
4. We know, that x% equals 149.98 of the output value, so we can write it down as x%=149.98.
5. Now we have two simple equations:
1) 100%=152.6
2) x%=149.98
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%=152.6/149.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.98 is what percent of 152.6

100%/x%=152.6/149.98
(100/x)*x=(152.6/149.98)*x       - we multiply both sides of the equation by x
100=1.0174689958661*x       - we divide both sides of the equation by (1.0174689958661) to get x
100/1.0174689958661=x
98.283093053735=x
x=98.283093053735

now we have:
149.98 is 98.283093053735% of 152.6