149.9 is what percent of 147 - 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 147 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 147, so we can write it down as 100%=147.
4. We know, that x% equals 149.9 of the output value, so we can write it down as x%=149.9.
5. Now we have two simple equations:
1) 100%=147
2) x%=149.9
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%=147/149.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.9 is what percent of 147

100%/x%=147/149.9
(100/x)*x=(147/149.9)*x       - we multiply both sides of the equation by x
100=0.98065376917945*x       - we divide both sides of the equation by (0.98065376917945) to get x
100/0.98065376917945=x
101.97278911565=x
x=101.97278911565

now we have:
149.9 is 101.97278911565% of 147