145.52 is what percent of 751.8 - 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 751.8 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 751.8, so we can write it down as 100%=751.8.
4. We know, that x% equals 145.52 of the output value, so we can write it down as x%=145.52.
5. Now we have two simple equations:
1) 100%=751.8
2) x%=145.52
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%=751.8/145.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.52 is what percent of 751.8

100%/x%=751.8/145.52
(100/x)*x=(751.8/145.52)*x       - we multiply both sides of the equation by x
100=5.1663001649258*x       - we divide both sides of the equation by (5.1663001649258) to get x
100/5.1663001649258=x
19.356211758446=x
x=19.356211758446

now we have:
145.52 is 19.356211758446% of 751.8