245.24 is what percent of 367.5 - 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 367.5 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 367.5, so we can write it down as 100%=367.5.
4. We know, that x% equals 245.24 of the output value, so we can write it down as x%=245.24.
5. Now we have two simple equations:
1) 100%=367.5
2) x%=245.24
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%=367.5/245.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 245.24 is what percent of 367.5

100%/x%=367.5/245.24
(100/x)*x=(367.5/245.24)*x       - we multiply both sides of the equation by x
100=1.4985320502365*x       - we divide both sides of the equation by (1.4985320502365) to get x
100/1.4985320502365=x
66.731972789116=x
x=66.731972789116

now we have:
245.24 is 66.731972789116% of 367.5