What is 67.7 percent of 463.7 - 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 463.7 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 463.7 is 100%, so we can write it down as 463.7=100%.
4. We know, that x is 67.7% of the output value, so we can write it down as x=67.7%.
5. Now we have two simple equations:
1) 463.7=100%
2) x=67.7%
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:
463.7/x=100%/67.7%
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 67.7% of 463.7

463.7/x=100/67.7
(463.7/x)*x=(100/67.7)*x       - we multiply both sides of the equation by x
463.7=1.4771048744461*x       - we divide both sides of the equation by (1.4771048744461) to get x
463.7/1.4771048744461=x
313.9249=x
x=313.9249

now we have:
67.7% of 463.7=313.9249