What is 15.3846153846 percent of 297 - 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 297 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 297 is 100%, so we can write it down as 297=100%.
4. We know, that x is 15.3846153846% of the output value, so we can write it down as x=15.3846153846%.
5. Now we have two simple equations:
1) 297=100%
2) x=15.3846153846%
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:
297/x=100%/15.3846153846%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 15.3846153846% of 297

297/x=100/15.3846153846
(297/x)*x=(100/15.3846153846)*x       - we multiply both sides of the equation by x
297=6.5000000000065*x       - we divide both sides of the equation by (6.5000000000065) to get x
297/6.5000000000065=x
45.692307692262=x
x=45.692307692262

now we have:
15.3846153846% of 297=45.692307692262