149.93 is what percent of 1355 - 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 1355 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 1355, so we can write it down as 100%=1355.
4. We know, that x% equals 149.93 of the output value, so we can write it down as x%=149.93.
5. Now we have two simple equations:
1) 100%=1355
2) x%=149.93
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%=1355/149.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.93 is what percent of 1355

100%/x%=1355/149.93
(100/x)*x=(1355/149.93)*x       - we multiply both sides of the equation by x
100=9.0375508570666*x       - we divide both sides of the equation by (9.0375508570666) to get x
100/9.0375508570666=x
11.064944649446=x
x=11.064944649446

now we have:
149.93 is 11.064944649446% of 1355