What is 58.5 percent of 257.4 - 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 257.4 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 257.4 is 100%, so we can write it down as 257.4=100%.
4. We know, that x is 58.5% of the output value, so we can write it down as x=58.5%.
5. Now we have two simple equations:
1) 257.4=100%
2) x=58.5%
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:
257.4/x=100%/58.5%
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 58.5% of 257.4

257.4/x=100/58.5
(257.4/x)*x=(100/58.5)*x       - we multiply both sides of the equation by x
257.4=1.7094017094017*x       - we divide both sides of the equation by (1.7094017094017) to get x
257.4/1.7094017094017=x
150.579=x
x=150.579

now we have:
58.5% of 257.4=150.579