149.62 is what percent of 149.58 - 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 149.58 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 149.58, so we can write it down as 100%=149.58.
4. We know, that x% equals 149.62 of the output value, so we can write it down as x%=149.62.
5. Now we have two simple equations:
1) 100%=149.58
2) x%=149.62
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%=149.58/149.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.62 is what percent of 149.58

100%/x%=149.58/149.62
(100/x)*x=(149.58/149.62)*x       - we multiply both sides of the equation by x
100=0.99973265606202*x       - we divide both sides of the equation by (0.99973265606202) to get x
100/0.99973265606202=x
100.02674154299=x
x=100.02674154299

now we have:
149.62 is 100.02674154299% of 149.58