78 is what percent of 1557 - 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 1557 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 1557, so we can write it down as 100%=1557.
4. We know, that x% equals 78 of the output value, so we can write it down as x%=78.
5. Now we have two simple equations:
1) 100%=1557
2) x%=78
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%=1557/78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78 is what percent of 1557

100%/x%=1557/78
(100/x)*x=(1557/78)*x       - we multiply both sides of the equation by x
100=19.961538461538*x       - we divide both sides of the equation by (19.961538461538) to get x
100/19.961538461538=x
5.009633911368=x
x=5.009633911368

now we have:
78 is 5.009633911368% of 1557