148.2 is what percent of 56.7 - 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 56.7 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 100% equals 56.7, so we can write it down as 100%=56.7.
4. We know, that x% equals 148.2 of the output value, so we can write it down as x%=148.2.
5. Now we have two simple equations:
1) 100%=56.7
2) x%=148.2
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%=56.7/148.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.2 is what percent of 56.7

100%/x%=56.7/148.2
(100/x)*x=(56.7/148.2)*x       - we multiply both sides of the equation by x
100=0.38259109311741*x       - we divide both sides of the equation by (0.38259109311741) to get x
100/0.38259109311741=x
261.37566137566=x
x=261.37566137566

now we have:
148.2 is 261.37566137566% of 56.7