149.96 is what percent of 164.74 - 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 164.74 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 164.74, so we can write it down as 100%=164.74.
4. We know, that x% equals 149.96 of the output value, so we can write it down as x%=149.96.
5. Now we have two simple equations:
1) 100%=164.74
2) x%=149.96
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%=164.74/149.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.96 is what percent of 164.74

100%/x%=164.74/149.96
(100/x)*x=(164.74/149.96)*x       - we multiply both sides of the equation by x
100=1.0985596158976*x       - we divide both sides of the equation by (1.0985596158976) to get x
100/1.0985596158976=x
91.028286997693=x
x=91.028286997693

now we have:
149.96 is 91.028286997693% of 164.74