144.7 is what percent of 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 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 74, so we can write it down as 100%=74.
4. We know, that x% equals 144.7 of the output value, so we can write it down as x%=144.7.
5. Now we have two simple equations:
1) 100%=74
2) x%=144.7
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%=74/144.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.7 is what percent of 74

100%/x%=74/144.7
(100/x)*x=(74/144.7)*x       - we multiply both sides of the equation by x
100=0.51140290255701*x       - we divide both sides of the equation by (0.51140290255701) to get x
100/0.51140290255701=x
195.54054054054=x
x=195.54054054054

now we have:
144.7 is 195.54054054054% of 74