134.27 is what percent of 364.8 - 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 364.8 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 364.8, so we can write it down as 100%=364.8.
4. We know, that x% equals 134.27 of the output value, so we can write it down as x%=134.27.
5. Now we have two simple equations:
1) 100%=364.8
2) x%=134.27
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%=364.8/134.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 134.27 is what percent of 364.8

100%/x%=364.8/134.27
(100/x)*x=(364.8/134.27)*x       - we multiply both sides of the equation by x
100=2.7169136813882*x       - we divide both sides of the equation by (2.7169136813882) to get x
100/2.7169136813882=x
36.806469298246=x
x=36.806469298246

now we have:
134.27 is 36.806469298246% of 364.8