76.64 is what percent of 143.55 - 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 143.55 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 143.55, so we can write it down as 100%=143.55.
4. We know, that x% equals 76.64 of the output value, so we can write it down as x%=76.64.
5. Now we have two simple equations:
1) 100%=143.55
2) x%=76.64
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%=143.55/76.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.64 is what percent of 143.55

100%/x%=143.55/76.64
(100/x)*x=(143.55/76.64)*x       - we multiply both sides of the equation by x
100=1.8730427974948*x       - we divide both sides of the equation by (1.8730427974948) to get x
100/1.8730427974948=x
53.389063044235=x
x=53.389063044235

now we have:
76.64 is 53.389063044235% of 143.55