149.5 is what percent of 1322 - 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 1322 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 1322, so we can write it down as 100%=1322.
4. We know, that x% equals 149.5 of the output value, so we can write it down as x%=149.5.
5. Now we have two simple equations:
1) 100%=1322
2) x%=149.5
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%=1322/149.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.5 is what percent of 1322

100%/x%=1322/149.5
(100/x)*x=(1322/149.5)*x       - we multiply both sides of the equation by x
100=8.8428093645485*x       - we divide both sides of the equation by (8.8428093645485) to get x
100/8.8428093645485=x
11.308623298033=x
x=11.308623298033

now we have:
149.5 is 11.308623298033% of 1322