134.5 is what percent of 207.5 - 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 207.5 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 207.5, so we can write it down as 100%=207.5.
4. We know, that x% equals 134.5 of the output value, so we can write it down as x%=134.5.
5. Now we have two simple equations:
1) 100%=207.5
2) x%=134.5
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%=207.5/134.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.5 is what percent of 207.5

100%/x%=207.5/134.5
(100/x)*x=(207.5/134.5)*x       - we multiply both sides of the equation by x
100=1.542750929368*x       - we divide both sides of the equation by (1.542750929368) to get x
100/1.542750929368=x
64.819277108434=x
x=64.819277108434

now we have:
134.5 is 64.819277108434% of 207.5