51.3 is what percent of 364.743 - 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 364.743 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 364.743, so we can write it down as 100%=364.743.
4. We know, that x% equals 51.3 of the output value, so we can write it down as x%=51.3.
5. Now we have two simple equations:
1) 100%=364.743
2) x%=51.3
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%=364.743/51.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.3 is what percent of 364.743

100%/x%=364.743/51.3
(100/x)*x=(364.743/51.3)*x       - we multiply both sides of the equation by x
100=7.11*x       - we divide both sides of the equation by (7.11) to get x
100/7.11=x
14.064697609001=x
x=14.064697609001

now we have:
51.3 is 14.064697609001% of 364.743