50.76 is what percent of 345.63 - 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 345.63 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 345.63, so we can write it down as 100%=345.63.
4. We know, that x% equals 50.76 of the output value, so we can write it down as x%=50.76.
5. Now we have two simple equations:
1) 100%=345.63
2) x%=50.76
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%=345.63/50.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.76 is what percent of 345.63

100%/x%=345.63/50.76
(100/x)*x=(345.63/50.76)*x       - we multiply both sides of the equation by x
100=6.8091016548463*x       - we divide both sides of the equation by (6.8091016548463) to get x
100/6.8091016548463=x
14.686225154066=x
x=14.686225154066

now we have:
50.76 is 14.686225154066% of 345.63