45.55 is what percent of 1210 - 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 1210 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 1210, so we can write it down as 100%=1210.
4. We know, that x% equals 45.55 of the output value, so we can write it down as x%=45.55.
5. Now we have two simple equations:
1) 100%=1210
2) x%=45.55
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%=1210/45.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.55 is what percent of 1210

100%/x%=1210/45.55
(100/x)*x=(1210/45.55)*x       - we multiply both sides of the equation by x
100=26.564215148189*x       - we divide both sides of the equation by (26.564215148189) to get x
100/26.564215148189=x
3.7644628099174=x
x=3.7644628099174

now we have:
45.55 is 3.7644628099174% of 1210